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10(x-1)=8(x+2)
We move all terms to the left:
10(x-1)-(8(x+2))=0
We multiply parentheses
10x-(8(x+2))-10=0
We calculate terms in parentheses: -(8(x+2)), so:We get rid of parentheses
8(x+2)
We multiply parentheses
8x+16
Back to the equation:
-(8x+16)
10x-8x-16-10=0
We add all the numbers together, and all the variables
2x-26=0
We move all terms containing x to the left, all other terms to the right
2x=26
x=26/2
x=13
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