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

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

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

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

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

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

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

Solving
2 + -6v = -6 + 2v

Solving for variable 'v'.

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

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

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

Combine like terms: 2v + -2v = 0
2 + -8v = -6 + 0
2 + -8v = -6

Add '-2' to each side of the equation.
2 + -2 + -8v = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -8v = -6 + -2
-8v = -6 + -2

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

Divide each side by '-8'.
v = 1

Simplifying
v = 1