6(2v-1)+8v=4(v-5)+2v

Solution for 6(2v-1)+8v=4(v-5)+2v equation:

Simplifying
6(2v + -1) + 8v = 4(v + -5) + 2v

Reorder the terms:
6(-1 + 2v) + 8v = 4(v + -5) + 2v
(-1 * 6 + 2v * 6) + 8v = 4(v + -5) + 2v
(-6 + 12v) + 8v = 4(v + -5) + 2v

Combine like terms: 12v + 8v = 20v
-6 + 20v = 4(v + -5) + 2v

Reorder the terms:
-6 + 20v = 4(-5 + v) + 2v
-6 + 20v = (-5 * 4 + v * 4) + 2v
-6 + 20v = (-20 + 4v) + 2v

Combine like terms: 4v + 2v = 6v
-6 + 20v = -20 + 6v

Solving
-6 + 20v = -20 + 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 + 20v + -6v = -20 + 6v + -6v

Combine like terms: 20v + -6v = 14v
-6 + 14v = -20 + 6v + -6v

Combine like terms: 6v + -6v = 0
-6 + 14v = -20 + 0
-6 + 14v = -20

Add '6' to each side of the equation.
-6 + 6 + 14v = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 14v = -20 + 6
14v = -20 + 6

Combine like terms: -20 + 6 = -14
14v = -14

Divide each side by '14'.
v = -1

Simplifying
v = -1