3(v+2)=2(v+6)+7

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

Simplifying
3(v + 2) = 2(v + 6) + 7

Reorder the terms:
3(2 + v) = 2(v + 6) + 7
(2 * 3 + v * 3) = 2(v + 6) + 7
(6 + 3v) = 2(v + 6) + 7

Reorder the terms:
6 + 3v = 2(6 + v) + 7
6 + 3v = (6 * 2 + v * 2) + 7
6 + 3v = (12 + 2v) + 7

Reorder the terms:
6 + 3v = 12 + 7 + 2v

Combine like terms: 12 + 7 = 19
6 + 3v = 19 + 2v

Solving
6 + 3v = 19 + 2v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-2v' to each side of the equation.
6 + 3v + -2v = 19 + 2v + -2v

Combine like terms: 3v + -2v = 1v
6 + 1v = 19 + 2v + -2v

Combine like terms: 2v + -2v = 0
6 + 1v = 19 + 0
6 + 1v = 19

Add '-6' to each side of the equation.
6 + -6 + 1v = 19 + -6

Combine like terms: 6 + -6 = 0
0 + 1v = 19 + -6
1v = 19 + -6

Combine like terms: 19 + -6 = 13
1v = 13

Divide each side by '1'.
v = 13

Simplifying
v = 13