6(-3v+1)=5(-2v-v)

Solution for 6(-3v+1)=5(-2v-v) equation:

Simplifying
6(-3v + 1) = 5(-2v + -1v)

Reorder the terms:
6(1 + -3v) = 5(-2v + -1v)
(1 * 6 + -3v * 6) = 5(-2v + -1v)
(6 + -18v) = 5(-2v + -1v)

Combine like terms: -2v + -1v = -3v
6 + -18v = 5(-3v)

Remove parenthesis around (-3v)
6 + -18v = 5 * -3v

Multiply 5 * -3
6 + -18v = -15v

Solving
6 + -18v = -15v

Solving for variable 'v'.

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

Add '15v' to each side of the equation.
6 + -18v + 15v = -15v + 15v

Combine like terms: -18v + 15v = -3v
6 + -3v = -15v + 15v

Combine like terms: -15v + 15v = 0
6 + -3v = 0

Add '-6' to each side of the equation.
6 + -6 + -3v = 0 + -6

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

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

Divide each side by '-3'.
v = 2

Simplifying
v = 2