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3x-3/2=4x-6
We move all terms to the left:
3x-3/2-(4x-6)=0
We get rid of parentheses
3x-4x+6-3/2=0
We multiply all the terms by the denominator
3x*2-4x*2-3+6*2=0
We add all the numbers together, and all the variables
3x*2-4x*2+9=0
Wy multiply elements
6x-8x+9=0
We add all the numbers together, and all the variables
-2x+9=0
We move all terms containing x to the left, all other terms to the right
-2x=-9
x=-9/-2
x=4+1/2
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