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10(2x+9)=5(2x+22)
We move all terms to the left:
10(2x+9)-(5(2x+22))=0
We multiply parentheses
20x-(5(2x+22))+90=0
We calculate terms in parentheses: -(5(2x+22)), so:We get rid of parentheses
5(2x+22)
We multiply parentheses
10x+110
Back to the equation:
-(10x+110)
20x-10x-110+90=0
We add all the numbers together, and all the variables
10x-20=0
We move all terms containing x to the left, all other terms to the right
10x=20
x=20/10
x=2
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