6+5v=2(2v-3)+8

Solution for 6+5v=2(2v-3)+8 equation:

Simplifying
6 + 5v = 2(2v + -3) + 8

Reorder the terms:
6 + 5v = 2(-3 + 2v) + 8
6 + 5v = (-3 * 2 + 2v * 2) + 8
6 + 5v = (-6 + 4v) + 8

Reorder the terms:
6 + 5v = -6 + 8 + 4v

Combine like terms: -6 + 8 = 2
6 + 5v = 2 + 4v

Solving
6 + 5v = 2 + 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 + 5v + -4v = 2 + 4v + -4v

Combine like terms: 5v + -4v = 1v
6 + 1v = 2 + 4v + -4v

Combine like terms: 4v + -4v = 0
6 + 1v = 2 + 0
6 + 1v = 2

Add '-6' to each side of the equation.
6 + -6 + 1v = 2 + -6

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

Combine like terms: 2 + -6 = -4
1v = -4

Divide each side by '1'.
v = -4

Simplifying
v = -4