2(x+8)=3(5-x)

Solution for 2(x+8)=3(5-x) equation:

2(x+8)=3(5-x)

We move all terms to the left:

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

We add all the numbers together, and all the variables

2(x+8)-(3(-1x+5))=0

We multiply parentheses

2x-(3(-1x+5))+16=0


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

3(-1x+5)

We multiply parentheses

-3x+15

Back to the equation:

-(-3x+15)


We get rid of parentheses

2x+3x-15+16=0

We add all the numbers together, and all the variables

5x+1=0

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

5x=-1

x=-1/5

x=-1/5