2(x-3)-3(4-x)=4(3-x)-6(6-x)

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Solution for 2(x-3)-3(4-x)=4(3-x)-6(6-x) equation: 



2(x-3)-3(4-x)=4(3-x)-6(6-x)

We move all terms to the left:

2(x-3)-3(4-x)-(4(3-x)-6(6-x))=0

We add all the numbers together, and all the variables

2(x-3)-3(-1x+4)-(4(-1x+3)-6(-1x+6))=0

We multiply parentheses

2x+3x-(4(-1x+3)-6(-1x+6))-6-12=0



We calculate terms in parentheses: -(4(-1x+3)-6(-1x+6)), so:

4(-1x+3)-6(-1x+6)

We multiply parentheses

-4x+6x+12-36

We add all the numbers together, and all the variables

2x-24

Back to the equation:

-(2x-24)



We add all the numbers together, and all the variables

5x-(2x-24)-18=0

We get rid of parentheses

5x-2x+24-18=0

We add all the numbers together, and all the variables

3x+6=0

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

3x=-6

x=-6/3

x=-2

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