2(x-1)-3(x+1)=5(2x-3)-(3-x)

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Solution for 2(x-1)-3(x+1)=5(2x-3)-(3-x) equation:



2(x-1)-3(x+1)=5(2x-3)-(3-x)
We move all terms to the left:
2(x-1)-3(x+1)-(5(2x-3)-(3-x))=0
We add all the numbers together, and all the variables
2(x-1)-3(x+1)-(5(2x-3)-(-1x+3))=0
We multiply parentheses
2x-3x-(5(2x-3)-(-1x+3))-2-3=0
We calculate terms in parentheses: -(5(2x-3)-(-1x+3)), so:
5(2x-3)-(-1x+3)
We multiply parentheses
10x-(-1x+3)-15
We get rid of parentheses
10x+1x-3-15
We add all the numbers together, and all the variables
11x-18
Back to the equation:
-(11x-18)
We add all the numbers together, and all the variables
-1x-(11x-18)-5=0
We get rid of parentheses
-1x-11x+18-5=0
We add all the numbers together, and all the variables
-12x+13=0
We move all terms containing x to the left, all other terms to the right
-12x=-13
x=-13/-12
x=1+1/12

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