2(x-3)=5(x-5)-8

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



2(x-3)=5(x-5)-8

We move all terms to the left:

2(x-3)-(5(x-5)-8)=0

We multiply parentheses

2x-(5(x-5)-8)-6=0



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

5(x-5)-8

We multiply parentheses

5x-25-8

We add all the numbers together, and all the variables

5x-33

Back to the equation:

-(5x-33)



We get rid of parentheses

2x-5x+33-6=0

We add all the numbers together, and all the variables

-3x+27=0

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

-3x=-27

x=-27/-3

x=+9

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