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

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

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

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

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

Solving
6 + -18b = -10 + -10b

Solving for variable 'b'.

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

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

Combine like terms: -18b + 10b = -8b
6 + -8b = -10 + -10b + 10b

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

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

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

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

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

Simplifying
b = 2