2(v+4)-12=3(1-4v)

Solution for 2(v+4)-12=3(1-4v) equation:

Simplifying
2(v + 4) + -12 = 3(1 + -4v)

Reorder the terms:
2(4 + v) + -12 = 3(1 + -4v)
(4 * 2 + v * 2) + -12 = 3(1 + -4v)
(8 + 2v) + -12 = 3(1 + -4v)

Reorder the terms:
8 + -12 + 2v = 3(1 + -4v)

Combine like terms: 8 + -12 = -4
-4 + 2v = 3(1 + -4v)
-4 + 2v = (1 * 3 + -4v * 3)
-4 + 2v = (3 + -12v)

Solving
-4 + 2v = 3 + -12v

Solving for variable 'v'.

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

Add '12v' to each side of the equation.
-4 + 2v + 12v = 3 + -12v + 12v

Combine like terms: 2v + 12v = 14v
-4 + 14v = 3 + -12v + 12v

Combine like terms: -12v + 12v = 0
-4 + 14v = 3 + 0
-4 + 14v = 3

Add '4' to each side of the equation.
-4 + 4 + 14v = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 14v = 3 + 4
14v = 3 + 4

Combine like terms: 3 + 4 = 7
14v = 7

Divide each side by '14'.
v = 0.5

Simplifying
v = 0.5