4x+6-8x+2=5(x+3)+5(1-3x)

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Solution for 4x+6-8x+2=5(x+3)+5(1-3x) equation: 



4x+6-8x+2=5(x+3)+5(1-3x)

We move all terms to the left:

4x+6-8x+2-(5(x+3)+5(1-3x))=0

We add all the numbers together, and all the variables

4x-8x-(5(x+3)+5(-3x+1))+6+2=0

We add all the numbers together, and all the variables

-4x-(5(x+3)+5(-3x+1))+8=0



We calculate terms in parentheses: -(5(x+3)+5(-3x+1)), so:

5(x+3)+5(-3x+1)

We multiply parentheses

5x-15x+15+5

We add all the numbers together, and all the variables

-10x+20

Back to the equation:

-(-10x+20)



We get rid of parentheses

-4x+10x-20+8=0

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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