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10(x+3)=5(x-4)-12
We move all terms to the left:
10(x+3)-(5(x-4)-12)=0
We multiply parentheses
10x-(5(x-4)-12)+30=0
We calculate terms in parentheses: -(5(x-4)-12), so:We get rid of parentheses
5(x-4)-12
We multiply parentheses
5x-20-12
We add all the numbers together, and all the variables
5x-32
Back to the equation:
-(5x-32)
10x-5x+32+30=0
We add all the numbers together, and all the variables
5x+62=0
We move all terms containing x to the left, all other terms to the right
5x=-62
x=-62/5
x=-12+2/5
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