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5(x-3)=2x-4
We move all terms to the left:
5(x-3)-(2x-4)=0
We multiply parentheses
5x-(2x-4)-15=0
We get rid of parentheses
5x-2x+4-15=0
We add all the numbers together, and all the variables
3x-11=0
We move all terms containing x to the left, all other terms to the right
3x=11
x=11/3
x=3+2/3
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