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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

x+5x-(3(-1x+5)+2(x+2))-15=0



We calculate terms in parentheses: -(3(-1x+5)+2(x+2)), so:

3(-1x+5)+2(x+2)

We multiply parentheses

-3x+2x+15+4

We add all the numbers together, and all the variables

-1x+19

Back to the equation:

-(-1x+19)



We add all the numbers together, and all the variables

6x-(-1x+19)-15=0

We get rid of parentheses

6x+1x-19-15=0

We add all the numbers together, and all the variables

7x-34=0

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

7x=34

x=34/7

x=4+6/7

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