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4(4x-9)=5(2x+8)
We move all terms to the left:
4(4x-9)-(5(2x+8))=0
We multiply parentheses
16x-(5(2x+8))-36=0
We calculate terms in parentheses: -(5(2x+8)), so:We get rid of parentheses
5(2x+8)
We multiply parentheses
10x+40
Back to the equation:
-(10x+40)
16x-10x-40-36=0
We add all the numbers together, and all the variables
6x-76=0
We move all terms containing x to the left, all other terms to the right
6x=76
x=76/6
x=12+2/3
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