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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

6x-(3(-1x+5))-12=0



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

3(-1x+5)

We multiply parentheses

-3x+15

Back to the equation:

-(-3x+15)



We get rid of parentheses

6x+3x-15-12=0

We add all the numbers together, and all the variables

9x-27=0

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

9x=27

x=27/9

x=3

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