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2(9+x)=-5(4-x)
We move all terms to the left:
2(9+x)-(-5(4-x))=0
We add all the numbers together, and all the variables
2(x+9)-(-5(-1x+4))=0
We multiply parentheses
2x-(-5(-1x+4))+18=0
We calculate terms in parentheses: -(-5(-1x+4)), so:We get rid of parentheses
-5(-1x+4)
We multiply parentheses
5x-20
Back to the equation:
-(5x-20)
2x-5x+20+18=0
We add all the numbers together, and all the variables
-3x+38=0
We move all terms containing x to the left, all other terms to the right
-3x=-38
x=-38/-3
x=12+2/3
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