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5(x-2)=-7(x+3)+45
We move all terms to the left:
5(x-2)-(-7(x+3)+45)=0
We multiply parentheses
5x-(-7(x+3)+45)-10=0
We calculate terms in parentheses: -(-7(x+3)+45), so:We get rid of parentheses
-7(x+3)+45
We multiply parentheses
-7x-21+45
We add all the numbers together, and all the variables
-7x+24
Back to the equation:
-(-7x+24)
5x+7x-24-10=0
We add all the numbers together, and all the variables
12x-34=0
We move all terms containing x to the left, all other terms to the right
12x=34
x=34/12
x=2+5/6
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