6(x-3)-(6-2x)=2(x+2)-5(5-x)

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Solution for 6(x-3)-(6-2x)=2(x+2)-5(5-x) equation: 



6(x-3)-(6-2x)=2(x+2)-5(5-x)

We move all terms to the left:

6(x-3)-(6-2x)-(2(x+2)-5(5-x))=0

We add all the numbers together, and all the variables

6(x-3)-(-2x+6)-(2(x+2)-5(-1x+5))=0

We multiply parentheses

6x-(-2x+6)-(2(x+2)-5(-1x+5))-18=0

We get rid of parentheses

6x+2x-(2(x+2)-5(-1x+5))-6-18=0



We calculate terms in parentheses: -(2(x+2)-5(-1x+5)), so:

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

We multiply parentheses

2x+5x+4-25

We add all the numbers together, and all the variables

7x-21

Back to the equation:

-(7x-21)



We add all the numbers together, and all the variables

8x-(7x-21)-24=0

We get rid of parentheses

8x-7x+21-24=0

We add all the numbers together, and all the variables

x-3=0

We move all terms containing x to the left, all other terms to the right

x=3

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