2(3x-6)+6(x-2)=-3(4-5x)+5x-2

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Solution for 2(3x-6)+6(x-2)=-3(4-5x)+5x-2 equation: 



2(3x-6)+6(x-2)=-3(4-5x)+5x-2

We move all terms to the left:

2(3x-6)+6(x-2)-(-3(4-5x)+5x-2)=0

We add all the numbers together, and all the variables

2(3x-6)+6(x-2)-(-3(-5x+4)+5x-2)=0

We multiply parentheses

6x+6x-(-3(-5x+4)+5x-2)-12-12=0



We calculate terms in parentheses: -(-3(-5x+4)+5x-2), so:

-3(-5x+4)+5x-2

We add all the numbers together, and all the variables

5x-3(-5x+4)-2

We multiply parentheses

5x+15x-12-2

We add all the numbers together, and all the variables

20x-14

Back to the equation:

-(20x-14)



We add all the numbers together, and all the variables

12x-(20x-14)-24=0

We get rid of parentheses

12x-20x+14-24=0

We add all the numbers together, and all the variables

-8x-10=0

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

-8x=10

x=10/-8

x=-1+1/4

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