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5(x-8)=3(x-10)
We move all terms to the left:
5(x-8)-(3(x-10))=0
We multiply parentheses
5x-(3(x-10))-40=0
We calculate terms in parentheses: -(3(x-10)), so:We get rid of parentheses
3(x-10)
We multiply parentheses
3x-30
Back to the equation:
-(3x-30)
5x-3x+30-40=0
We add all the numbers together, and all the variables
2x-10=0
We move all terms containing x to the left, all other terms to the right
2x=10
x=10/2
x=5
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