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4(x+3)=-2(x-5)
We move all terms to the left:
4(x+3)-(-2(x-5))=0
We multiply parentheses
4x-(-2(x-5))+12=0
We calculate terms in parentheses: -(-2(x-5)), so:We get rid of parentheses
-2(x-5)
We multiply parentheses
-2x+10
Back to the equation:
-(-2x+10)
4x+2x-10+12=0
We add all the numbers together, and all the variables
6x+2=0
We move all terms containing x to the left, all other terms to the right
6x=-2
x=-2/6
x=-1/3
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