5(x-2)-6(x-2)=2(x-3)-3

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



5(x-2)-6(x-2)=2(x-3)-3

We move all terms to the left:

5(x-2)-6(x-2)-(2(x-3)-3)=0

We multiply parentheses

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



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

2(x-3)-3

We multiply parentheses

2x-6-3

We add all the numbers together, and all the variables

2x-9

Back to the equation:

-(2x-9)



We add all the numbers together, and all the variables

-1x-(2x-9)+2=0

We get rid of parentheses

-1x-2x+9+2=0

We add all the numbers together, and all the variables

-3x+11=0

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

-3x=-11

x=-11/-3

x=3+2/3

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