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Lesson 7: Two-step equations with decimals and fractions

# Two-step equations with decimals and fractions

Let's practice some two step equations, some of which require merging terms and using the distributive property. Created by Sal Khan and CK-12 Foundation.

## Want to join the conversation?

• Math needs to solve its own problems. I'm not a therapist.
• words of a true man
• At , Sal kept 0.6 as a decimal. Could you also make that into a fraction (6/10) and then multiply both sides by 10 (getting 6x = 120), then dividing both sides by 6, getting x = 20? It seems much easier that way.
• Gauri, the way you described is a completely correct way of doing it, and I agree: it is easier. Usually, if you can covert decimals to fractions because fractions are easier to work with, that's a good way to do it.
Hope that helps!
• Dear math,
She is gone.
• math aint mathing today yall
• At , why is it necessary to do the division? Couldn't you just do "Well, I know 6 goes into 12 2 times, but this is a 0.6, which is 10 times less that 6, so just multiply that quotient by ten and boom: 20 is the answer."?
• Because even if this certain division problem was easy, he was demonstrating it so that you could understand and do harder ones more easily… I know- this reply is coming a little to far in the future. Outdated but- hope I helped.
• Why do us students have to learn all subjects, but teachers can't teach all subjects?
• They specialize in one topic. Thats why each teacher is so good at one subject cause they excelled in that area and are able to teach us well.
• Why did he change 3s/8 to (3/8)S?
• Thank You for these tips for two step equations. Is there other ways to do this?
• In two steps equations one need to solve one part of the equation first to solve the whole equation . This is going to be a good way to do one way equation.
• What is 13=-4x+9
• I will demonstrate the steps towards solving the equation:
``Original equation:13 = -4x + 9Algebraic manipulations:13 - 9 = -4xx = (13 - 9) / -4x = -1Verification:13 = -4(-1) + 9, passesAnswer:.________.| x = -1 |.________.``

• math be to complicated
The provided text is a collection of comments and jokes about math, likely from a discussion thread on a lesson about two-step equations with decimals and fractions. It does not contain a structured mathematical question or answer.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Lesson 7: Two-step equations with decimals and fractions

# Two-step equations with decimals and fractions

Let's practice some two step equations, some of which require merging terms and using the distributive property. Created by Sal Khan and CK-12 Foundation.

## Want to join the conversation?

• Math needs to solve its own problems. I'm not a therapist.
• words of a true man
• At , Sal kept 0.6 as a decimal. Could you also make that into a fraction (6/10) and then multiply both sides by 10 (getting 6x = 120), then dividing both sides by 6, getting x = 20? It seems much easier that way.
• Gauri, the way you described is a completely correct way of doing it, and I agree: it is easier. Usually, if you can covert decimals to fractions because fractions are easier to work with, that's a good way to do it.
Hope that helps!
• Dear math,
She is gone.
• math aint mathing today yall
• At , why is it necessary to do the division? Couldn't you just do "Well, I know 6 goes into 12 2 times, but this is a 0.6, which is 10 times less that 6, so just multiply that quotient by ten and boom: 20 is the answer."?
• Because even if this certain division problem was easy, he was demonstrating it so that you could understand and do harder ones more easily… I know- this reply is coming a little to far in the future. Outdated but- hope I helped.
• Why do us students have to learn all subjects, but teachers can't teach all subjects?
• They specialize in one topic. Thats why each teacher is so good at one subject cause they excelled in that area and are able to teach us well.
• Why did he change 3s/8 to (3/8)S?
• Thank You for these tips for two step equations. Is there other ways to do this?
• In two steps equations one need to solve one part of the equation first to solve the whole equation . This is going to be a good way to do one way equation.
• What is 13=-4x+9
• I will demonstrate the steps towards solving the equation:
``Original equation:13 = -4x + 9Algebraic manipulations:13 - 9 = -4xx = (13 - 9) / -4x = -1Verification:13 = -4(-1) + 9, passesAnswer:.________.| x = -1 |.________.``

• math be to complicated
user
The provided text is a collection of comments and jokes about math, likely from a discussion thread on a lesson about two-step equations with decimals and fractions. It does not contain a structured mathematical question or answer.

TYPE: NO_QUESTION