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

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



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

We move all terms to the left:

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

We multiply parentheses

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



We calculate terms in parentheses: -(3(5x+2)-x), so:

3(5x+2)-x

We add all the numbers together, and all the variables

-1x+3(5x+2)

We multiply parentheses

-1x+15x+6

We add all the numbers together, and all the variables

14x+6

Back to the equation:

-(14x+6)



We get rid of parentheses

2x-14x-6-6=0

We add all the numbers together, and all the variables

-12x-12=0

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

-12x=12

x=12/-12

x=-1

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