2(x+6)=3(7-x)

Solution for 2(x+6)=3(7-x) equation:

2(x+6)=3(7-x)

We move all terms to the left:

2(x+6)-(3(7-x))=0

We add all the numbers together, and all the variables

2(x+6)-(3(-1x+7))=0

We multiply parentheses

2x-(3(-1x+7))+12=0


We calculate terms in parentheses: -(3(-1x+7)), so:

3(-1x+7)

We multiply parentheses

-3x+21

Back to the equation:

-(-3x+21)


We get rid of parentheses

2x+3x-21+12=0

We add all the numbers together, and all the variables

5x-9=0

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

5x=9

x=9/5

x=1+4/5