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

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



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

We move all terms to the left:

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

We multiply parentheses

5x+12x-(2(x+3)-8x+6)-10-24=0



We calculate terms in parentheses: -(2(x+3)-8x+6), so:

2(x+3)-8x+6

We add all the numbers together, and all the variables

-8x+2(x+3)+6

We multiply parentheses

-8x+2x+6+6

We add all the numbers together, and all the variables

-6x+12

Back to the equation:

-(-6x+12)



We add all the numbers together, and all the variables

17x-(-6x+12)-34=0

We get rid of parentheses

17x+6x-12-34=0

We add all the numbers together, and all the variables

23x-46=0

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

23x=46

x=46/23

x=2

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