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

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Solution for 2(3+2x)=5(12-x) equation: 



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

2(2x+3)-(5(-1x+12))=0

We multiply parentheses

4x-(5(-1x+12))+6=0



We calculate terms in parentheses: -(5(-1x+12)), so:

5(-1x+12)

We multiply parentheses

-5x+60

Back to the equation:

-(-5x+60)



We get rid of parentheses

4x+5x-60+6=0

We add all the numbers together, and all the variables

9x-54=0

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

9x=54

x=54/9

x=6

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