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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



We calculate terms in parentheses: -(5(x-6)-x), so:

5(x-6)-x

We add all the numbers together, and all the variables

-1x+5(x-6)

We multiply parentheses

-1x+5x-30

We add all the numbers together, and all the variables

4x-30

Back to the equation:

-(4x-30)



We add all the numbers together, and all the variables

-2x-(4x-30)+6=0

We get rid of parentheses

-2x-4x+30+6=0

We add all the numbers together, and all the variables

-6x+36=0

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

-6x=-36

x=-36/-6

x=+6

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