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

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



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

We move all terms to the left:

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

We multiply parentheses

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



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

5(x-2)-2

We multiply parentheses

5x-10-2

We add all the numbers together, and all the variables

5x-12

Back to the equation:

-(5x-12)



We get rid of parentheses

2x-5x+12-6=0

We add all the numbers together, and all the variables

-3x+6=0

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

-3x=-6

x=-6/-3

x=+2

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