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 = -8V
6 + -8V = -10 + -10V + 10V

Combine like terms: -10V + 10V = 0
6 + -8V = -10 + 0
6 + -8V = -10

Add '-6' to each side of the equation.
6 + -6 + -8V = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8V = -10 + -6
-8V = -10 + -6

Combine like terms: -10 + -6 = -16
-8V = -16

Divide each side by '-8'.
V = 2

Simplifying
V = 2