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5(2x-3)=3x+13
We move all terms to the left:
5(2x-3)-(3x+13)=0
We multiply parentheses
10x-(3x+13)-15=0
We get rid of parentheses
10x-3x-13-15=0
We add all the numbers together, and all the variables
7x-28=0
We move all terms containing x to the left, all other terms to the right
7x=28
x=28/7
x=4
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