2(2v+3)+8v=6(v-1)+3v

Solution for 2(2v+3)+8v=6(v-1)+3v equation:

Simplifying
2(2v + 3) + 8v = 6(v + -1) + 3v

Reorder the terms:
2(3 + 2v) + 8v = 6(v + -1) + 3v
(3 * 2 + 2v * 2) + 8v = 6(v + -1) + 3v
(6 + 4v) + 8v = 6(v + -1) + 3v

Combine like terms: 4v + 8v = 12v
6 + 12v = 6(v + -1) + 3v

Reorder the terms:
6 + 12v = 6(-1 + v) + 3v
6 + 12v = (-1 * 6 + v * 6) + 3v
6 + 12v = (-6 + 6v) + 3v

Combine like terms: 6v + 3v = 9v
6 + 12v = -6 + 9v

Solving
6 + 12v = -6 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
6 + 12v + -9v = -6 + 9v + -9v

Combine like terms: 12v + -9v = 3v
6 + 3v = -6 + 9v + -9v

Combine like terms: 9v + -9v = 0
6 + 3v = -6 + 0
6 + 3v = -6

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

Combine like terms: 6 + -6 = 0
0 + 3v = -6 + -6
3v = -6 + -6

Combine like terms: -6 + -6 = -12
3v = -12

Divide each side by '3'.
v = -4

Simplifying
v = -4