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

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



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

We move all terms to the left:

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

We multiply parentheses

3x-(5(x-2)-x)-9=0



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

5(x-2)-x

We add all the numbers together, and all the variables

-1x+5(x-2)

We multiply parentheses

-1x+5x-10

We add all the numbers together, and all the variables

4x-10

Back to the equation:

-(4x-10)



We get rid of parentheses

3x-4x+10-9=0

We add all the numbers together, and all the variables

-1x+1=0

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

-x=-1

x=-1/-1

x=1

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