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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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


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

3(-1x+2)

We multiply parentheses

-3x+6

Back to the equation:

-(-3x+6)


We get rid of parentheses

2x+3x-6+8=0

We add all the numbers together, and all the variables

5x+2=0

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

5x=-2

x=-2/5

x=-2/5