5(x+1)-4(3x+1)=5(4-x)+7

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Solution for 5(x+1)-4(3x+1)=5(4-x)+7 equation: 



5(x+1)-4(3x+1)=5(4-x)+7

We move all terms to the left:

5(x+1)-4(3x+1)-(5(4-x)+7)=0

We add all the numbers together, and all the variables

5(x+1)-4(3x+1)-(5(-1x+4)+7)=0

We multiply parentheses

5x-12x-(5(-1x+4)+7)+5-4=0



We calculate terms in parentheses: -(5(-1x+4)+7), so:

5(-1x+4)+7

We multiply parentheses

-5x+20+7

We add all the numbers together, and all the variables

-5x+27

Back to the equation:

-(-5x+27)



We add all the numbers together, and all the variables

-7x-(-5x+27)+1=0

We get rid of parentheses

-7x+5x-27+1=0

We add all the numbers together, and all the variables

-2x-26=0

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

-2x=26

x=26/-2

x=-13

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