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4(x-2)=3x-1/2
We move all terms to the left:
4(x-2)-(3x-1/2)=0
We add all the numbers together, and all the variables
4(x-2)-(+3x-1/2)=0
We multiply parentheses
4x-(+3x-1/2)-8=0
We get rid of parentheses
4x-3x-8+1/2=0
We multiply all the terms by the denominator
4x*2-3x*2+1-8*2=0
We add all the numbers together, and all the variables
4x*2-3x*2-15=0
Wy multiply elements
8x-6x-15=0
We add all the numbers together, and all the variables
2x-15=0
We move all terms containing x to the left, all other terms to the right
2x=15
x=15/2
x=7+1/2
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