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2(x+9)=9(x-5)
We move all terms to the left:
2(x+9)-(9(x-5))=0
We multiply parentheses
2x-(9(x-5))+18=0
We calculate terms in parentheses: -(9(x-5)), so:We get rid of parentheses
9(x-5)
We multiply parentheses
9x-45
Back to the equation:
-(9x-45)
2x-9x+45+18=0
We add all the numbers together, and all the variables
-7x+63=0
We move all terms containing x to the left, all other terms to the right
-7x=-63
x=-63/-7
x=+9
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