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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



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

3(x-3)-2

We multiply parentheses

3x-9-2

We add all the numbers together, and all the variables

3x-11

Back to the equation:

-(3x-11)



We add all the numbers together, and all the variables

-1x-(3x-11)-8=0

We get rid of parentheses

-1x-3x+11-8=0

We add all the numbers together, and all the variables

-4x+3=0

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

-4x=-3

x=-3/-4

x=3/4

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