3(2+v)=6+2(v+1)

Solution for 3(2+v)=6+2(v+1) equation:

Simplifying
3(2 + v) = 6 + 2(v + 1)
(2 * 3 + v * 3) = 6 + 2(v + 1)
(6 + 3v) = 6 + 2(v + 1)

Reorder the terms:
6 + 3v = 6 + 2(1 + v)
6 + 3v = 6 + (1 * 2 + v * 2)
6 + 3v = 6 + (2 + 2v)

Combine like terms: 6 + 2 = 8
6 + 3v = 8 + 2v

Solving
6 + 3v = 8 + 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 = 8 + 2v + -2v

Combine like terms: 3v + -2v = 1v
6 + 1v = 8 + 2v + -2v

Combine like terms: 2v + -2v = 0
6 + 1v = 8 + 0
6 + 1v = 8

Add '-6' to each side of the equation.
6 + -6 + 1v = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1v = 8 + -6
1v = 8 + -6

Combine like terms: 8 + -6 = 2
1v = 2

Divide each side by '1'.
v = 2

Simplifying
v = 2