5(x-3)=-3(6-x)

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Solution for 5(x-3)=-3(6-x) equation:



5(x-3)=-3(6-x)
We move all terms to the left:
5(x-3)-(-3(6-x))=0
We add all the numbers together, and all the variables
5(x-3)-(-3(-1x+6))=0
We multiply parentheses
5x-(-3(-1x+6))-15=0
We calculate terms in parentheses: -(-3(-1x+6)), so:
-3(-1x+6)
We multiply parentheses
3x-18
Back to the equation:
-(3x-18)
We get rid of parentheses
5x-3x+18-15=0
We add all the numbers together, and all the variables
2x+3=0
We move all terms containing x to the left, all other terms to the right
2x=-3
x=-3/2
x=-1+1/2

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