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4(x-5)=8(x+3)
We move all terms to the left:
4(x-5)-(8(x+3))=0
We multiply parentheses
4x-(8(x+3))-20=0
We calculate terms in parentheses: -(8(x+3)), so:We get rid of parentheses
8(x+3)
We multiply parentheses
8x+24
Back to the equation:
-(8x+24)
4x-8x-24-20=0
We add all the numbers together, and all the variables
-4x-44=0
We move all terms containing x to the left, all other terms to the right
-4x=44
x=44/-4
x=-11
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