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5(x-1)=3x-4
We move all terms to the left:
5(x-1)-(3x-4)=0
We multiply parentheses
5x-(3x-4)-5=0
We get rid of parentheses
5x-3x+4-5=0
We add all the numbers together, and all the variables
2x-1=0
We move all terms containing x to the left, all other terms to the right
2x=1
x=1/2
x=1/2
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