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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



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

3(x-5)

We multiply parentheses

3x-15

Back to the equation:

-(3x-15)



We get rid of parentheses

-2x-3x+15+12=0

We add all the numbers together, and all the variables

-5x+27=0

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

-5x=-27

x=-27/-5

x=5+2/5

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