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

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

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

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

Reorder the terms:
6 + -18v = 5(-2 + 2v)
6 + -18v = (-2 * 5 + 2v * 5)
6 + -18v = (-10 + 10v)

Solving
6 + -18v = -10 + 10v

Solving for variable 'v'.

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

Add '-10v' to each side of the equation.
6 + -18v + -10v = -10 + 10v + -10v

Combine like terms: -18v + -10v = -28v
6 + -28v = -10 + 10v + -10v

Combine like terms: 10v + -10v = 0
6 + -28v = -10 + 0
6 + -28v = -10

Add '-6' to each side of the equation.
6 + -6 + -28v = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -28v = -10 + -6
-28v = -10 + -6

Combine like terms: -10 + -6 = -16
-28v = -16

Divide each side by '-28'.
v = 0.5714285714

Simplifying
v = 0.5714285714