2(3x-7)+6(x-4)=-3(4-5x)+5x-8

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Solution for 2(3x-7)+6(x-4)=-3(4-5x)+5x-8 equation: 



2(3x-7)+6(x-4)=-3(4-5x)+5x-8

We move all terms to the left:

2(3x-7)+6(x-4)-(-3(4-5x)+5x-8)=0

We add all the numbers together, and all the variables

2(3x-7)+6(x-4)-(-3(-5x+4)+5x-8)=0

We multiply parentheses

6x+6x-(-3(-5x+4)+5x-8)-14-24=0



We calculate terms in parentheses: -(-3(-5x+4)+5x-8), so:

-3(-5x+4)+5x-8

We add all the numbers together, and all the variables

5x-3(-5x+4)-8

We multiply parentheses

5x+15x-12-8

We add all the numbers together, and all the variables

20x-20

Back to the equation:

-(20x-20)



We add all the numbers together, and all the variables

12x-(20x-20)-38=0

We get rid of parentheses

12x-20x+20-38=0

We add all the numbers together, and all the variables

-8x-18=0

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

-8x=18

x=18/-8

x=-2+1/4

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