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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

10x-(3(-1x+3))-30=0



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

3(-1x+3)

We multiply parentheses

-3x+9

Back to the equation:

-(-3x+9)



We get rid of parentheses

10x+3x-9-30=0

We add all the numbers together, and all the variables

13x-39=0

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

13x=39

x=39/13

x=3

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