2(4-x)=3(x+1)-8

Solution for 2(4-x)=3(x+1)-8 equation:

2(4-x)=3(x+1)-8

We move all terms to the left:

2(4-x)-(3(x+1)-8)=0

We add all the numbers together, and all the variables

2(-1x+4)-(3(x+1)-8)=0

We multiply parentheses

-2x-(3(x+1)-8)+8=0


We calculate terms in parentheses: -(3(x+1)-8), so:

3(x+1)-8

We multiply parentheses

3x+3-8

We add all the numbers together, and all the variables

3x-5

Back to the equation:

-(3x-5)


We get rid of parentheses

-2x-3x+5+8=0

We add all the numbers together, and all the variables

-5x+13=0

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

-5x=-13

x=-13/-5

x=2+3/5