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2(x-5)=-3(x-8)
We move all terms to the left:
2(x-5)-(-3(x-8))=0
We multiply parentheses
2x-(-3(x-8))-10=0
We calculate terms in parentheses: -(-3(x-8)), so:We get rid of parentheses
-3(x-8)
We multiply parentheses
-3x+24
Back to the equation:
-(-3x+24)
2x+3x-24-10=0
We add all the numbers together, and all the variables
5x-34=0
We move all terms containing x to the left, all other terms to the right
5x=34
x=34/5
x=6+4/5
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