2(v+1)+4=3(2v-1)+8

Solution for 2(v+1)+4=3(2v-1)+8 equation:

Simplifying
2(v + 1) + 4 = 3(2v + -1) + 8

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

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

Combine like terms: 2 + 4 = 6
6 + 2v = 3(2v + -1) + 8

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

Reorder the terms:
6 + 2v = -3 + 8 + 6v

Combine like terms: -3 + 8 = 5
6 + 2v = 5 + 6v

Solving
6 + 2v = 5 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
6 + 2v + -6v = 5 + 6v + -6v

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

Combine like terms: 6v + -6v = 0
6 + -4v = 5 + 0
6 + -4v = 5

Add '-6' to each side of the equation.
6 + -6 + -4v = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -4v = 5 + -6
-4v = 5 + -6

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

Divide each side by '-4'.
v = 0.25

Simplifying
v = 0.25