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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

2x-(3(-1x+6))+10=0



We calculate terms in parentheses: -(3(-1x+6)), so:

3(-1x+6)

We multiply parentheses

-3x+18

Back to the equation:

-(-3x+18)



We get rid of parentheses

2x+3x-18+10=0

We add all the numbers together, and all the variables

5x-8=0

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

5x=8

x=8/5

x=1+3/5

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