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5(x-3)=15x+5
We move all terms to the left:
5(x-3)-(15x+5)=0
We multiply parentheses
5x-(15x+5)-15=0
We get rid of parentheses
5x-15x-5-15=0
We add all the numbers together, and all the variables
-10x-20=0
We move all terms containing x to the left, all other terms to the right
-10x=20
x=20/-10
x=-2
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