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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



We calculate terms in parentheses: -(-2(x-1)+3(x-2)), so:

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

We multiply parentheses

-2x+3x+2-6

We add all the numbers together, and all the variables

x-4

Back to the equation:

-(x-4)



We add all the numbers together, and all the variables

3x-(x-4)+2=0

We get rid of parentheses

3x-x+4+2=0

We add all the numbers together, and all the variables

2x+6=0

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

2x=-6

x=-6/2

x=-3

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