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10(x+3)=-2(8-4x)
We move all terms to the left:
10(x+3)-(-2(8-4x))=0
We add all the numbers together, and all the variables
10(x+3)-(-2(-4x+8))=0
We multiply parentheses
10x-(-2(-4x+8))+30=0
We calculate terms in parentheses: -(-2(-4x+8)), so:We get rid of parentheses
-2(-4x+8)
We multiply parentheses
8x-16
Back to the equation:
-(8x-16)
10x-8x+16+30=0
We add all the numbers together, and all the variables
2x+46=0
We move all terms containing x to the left, all other terms to the right
2x=-46
x=-46/2
x=-23
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