2(v+3)=-2(3v-2)+2v

Solution for 2(v+3)=-2(3v-2)+2v equation:

Simplifying
2(v + 3) = -2(3v + -2) + 2v

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

Reorder the terms:
6 + 2v = -2(-2 + 3v) + 2v
6 + 2v = (-2 * -2 + 3v * -2) + 2v
6 + 2v = (4 + -6v) + 2v

Combine like terms: -6v + 2v = -4v
6 + 2v = 4 + -4v

Solving
6 + 2v = 4 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
6 + 2v + 4v = 4 + -4v + 4v

Combine like terms: 2v + 4v = 6v
6 + 6v = 4 + -4v + 4v

Combine like terms: -4v + 4v = 0
6 + 6v = 4 + 0
6 + 6v = 4

Add '-6' to each side of the equation.
6 + -6 + 6v = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 6v = 4 + -6
6v = 4 + -6

Combine like terms: 4 + -6 = -2
6v = -2

Divide each side by '6'.
v = -0.3333333333

Simplifying
v = -0.3333333333