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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

5x-(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

5x+3x-18+10=0

We add all the numbers together, and all the variables

8x-8=0

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

8x=8

x=8/8

x=1

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