2v+6=4(v-1)

Solution for 2v+6=4(v-1) equation:

Simplifying
2v + 6 = 4(v + -1)

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

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

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

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

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

Combine like terms: -4 + -6 = -10
-2v = -10

Divide each side by '-2'.
v = 5

Simplifying
v = 5