((3x+1)/2)-((2x-2)/3)=x-1.
((3x+1)/2)-((2x-2)/3)=x-1．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(1/2) + (2/3) + 1</gadget>
<output>13/6 = around 2.166667</output>

<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">1 - (3/2)</gadget>
<output>-1/2 = around -0.5</output>

<gadget id="calculator">(2/3) + (-1/2)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">(13/6) / (1/6)</gadget>
<output>13</output>

<result>13</result>