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5(3x-2)+8=3x+10
We move all terms to the left:
5(3x-2)+8-(3x+10)=0
We multiply parentheses
15x-(3x+10)-10+8=0
We get rid of parentheses
15x-3x-10-10+8=0
We add all the numbers together, and all the variables
12x-12=0
We move all terms containing x to the left, all other terms to the right
12x=12
x=12/12
x=1
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