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4(x-3)+3/2=3x+5
We move all terms to the left:
4(x-3)+3/2-(3x+5)=0
We multiply parentheses
4x-(3x+5)-12+3/2=0
We get rid of parentheses
4x-3x-5-12+3/2=0
We multiply all the terms by the denominator
4x*2-3x*2+3-5*2-12*2=0
We add all the numbers together, and all the variables
4x*2-3x*2-31=0
Wy multiply elements
8x-6x-31=0
We add all the numbers together, and all the variables
2x-31=0
We move all terms containing x to the left, all other terms to the right
2x=31
x=31/2
x=15+1/2
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