# How do you solve 3x + 5 = 2 ( x + 7 )?

Mar 10, 2018

Work backwards to solve for x

#### Explanation:

To find something that is lost work backwards to find what is lost.

The order of operations backwards is PESADM

Think about like this. " if you lose something in PE you are a SAD M(an)(am)

First remove parenthesis and exponents ( PE) then remove addition and subtraction by doing the opposite. (SA) Then remove multiplication and division by doing the opposite.

First remove parenthesis

$2 \left(x + 7\right) = 2 x + 14$ so

$3 x + 5 = 2 x + 14$ Remove the +5 by adding the opposite -5

$3 x + 5 - 5 = 2 x + 14 - 5$ This gives

$3 x = 2 x + 9$ Remove the 2x by adding the opposite -2x

$3 x - 2 x = 2 x - 2 x + 9$ This gives

$x = 9$
The text passage contains a mathematical question and provides a step-by-step solution to the equation, leading to the answer.
single_question_with_answer
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
# How do you solve 3x + 5 = 2 ( x + 7 )?

Mar 10, 2018

Work backwards to solve for x

#### Explanation:

To find something that is lost work backwards to find what is lost.

The order of operations backwards is PESADM

Think about like this. " if you lose something in PE you are a SAD M(an)(am)

First remove parenthesis and exponents ( PE) then remove addition and subtraction by doing the opposite. (SA) Then remove multiplication and division by doing the opposite.

First remove parenthesis

$2 \left(x + 7\right) = 2 x + 14$ so

$3 x + 5 = 2 x + 14$ Remove the +5 by adding the opposite -5

$3 x + 5 - 5 = 2 x + 14 - 5$ This gives

$3 x = 2 x + 9$ Remove the 2x by adding the opposite -2x

$3 x - 2 x = 2 x - 2 x + 9$ This gives

$x = 9$
user
The text passage contains a mathematical question and provides a step-by-step solution to the equation, leading to the answer.

TYPE: SINGLE_QUESTION_WITH_ANSWER