8v-1=3(v-2)

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

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

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

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

Solving
-1 + 8v = -6 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
-1 + 8v + -3v = -6 + 3v + -3v

Combine like terms: 8v + -3v = 5v
-1 + 5v = -6 + 3v + -3v

Combine like terms: 3v + -3v = 0
-1 + 5v = -6 + 0
-1 + 5v = -6

Add '1' to each side of the equation.
-1 + 1 + 5v = -6 + 1

Combine like terms: -1 + 1 = 0
0 + 5v = -6 + 1
5v = -6 + 1

Combine like terms: -6 + 1 = -5
5v = -5

Divide each side by '5'.
v = -1

Simplifying
v = -1