-3(v-2)-5v=-2(v+2)

Solution for -3(v-2)-5v=-2(v+2) equation:

Simplifying
-3(v + -2) + -5v = -2(v + 2)

Reorder the terms:
-3(-2 + v) + -5v = -2(v + 2)
(-2 * -3 + v * -3) + -5v = -2(v + 2)
(6 + -3v) + -5v = -2(v + 2)

Combine like terms: -3v + -5v = -8v
6 + -8v = -2(v + 2)

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

Solving
6 + -8v = -4 + -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.
6 + -8v + 2v = -4 + -2v + 2v

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

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

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

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

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

Divide each side by '-6'.
v = 1.666666667

Simplifying
v = 1.666666667