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

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Solution for 6(x-1)=3(2-x)+3x equation: 



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



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

3(-1x+2)+3x

We add all the numbers together, and all the variables

3x+3(-1x+2)

We multiply parentheses

3x-3x+6

We add all the numbers together, and all the variables

6

Back to the equation:

-(6)



We add all the numbers together, and all the variables

6x-12=0

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

6x=12

x=12/6

x=2

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