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

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



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

We move all terms to the left:

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

We multiply parentheses

4x-(5(x-2)+x-8)+20=0



We calculate terms in parentheses: -(5(x-2)+x-8), so:

5(x-2)+x-8

We add all the numbers together, and all the variables

x+5(x-2)-8

We multiply parentheses

x+5x-10-8

We add all the numbers together, and all the variables

6x-18

Back to the equation:

-(6x-18)



We get rid of parentheses

4x-6x+18+20=0

We add all the numbers together, and all the variables

-2x+38=0

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

-2x=-38

x=-38/-2

x=+19

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