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

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

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

Reorder the terms:
2 + 8v = 4v + 3(-2 + v)
2 + 8v = 4v + (-2 * 3 + v * 3)
2 + 8v = 4v + (-6 + 3v)

Reorder the terms:
2 + 8v = -6 + 4v + 3v

Combine like terms: 4v + 3v = 7v
2 + 8v = -6 + 7v

Solving
2 + 8v = -6 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
2 + 8v + -7v = -6 + 7v + -7v

Combine like terms: 8v + -7v = 1v
2 + 1v = -6 + 7v + -7v

Combine like terms: 7v + -7v = 0
2 + 1v = -6 + 0
2 + 1v = -6

Add '-2' to each side of the equation.
2 + -2 + 1v = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 1v = -6 + -2
1v = -6 + -2

Combine like terms: -6 + -2 = -8
1v = -8

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

Simplifying
v = -8