3(x+1)=5(7-x)

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Solution for 3(x+1)=5(7-x) equation: 



3(x+1)=5(7-x)

We move all terms to the left:

3(x+1)-(5(7-x))=0

We add all the numbers together, and all the variables

3(x+1)-(5(-1x+7))=0

We multiply parentheses

3x-(5(-1x+7))+3=0



We calculate terms in parentheses: -(5(-1x+7)), so:

5(-1x+7)

We multiply parentheses

-5x+35

Back to the equation:

-(-5x+35)



We get rid of parentheses

3x+5x-35+3=0

We add all the numbers together, and all the variables

8x-32=0

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

8x=32

x=32/8

x=4

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