22=-3(23-b)+2(b-2)

Solution for 22=-3(23-b)+2(b-2) equation:

Simplifying
22 = -3(23 + -1b) + 2(b + -2)
22 = (23 * -3 + -1b * -3) + 2(b + -2)
22 = (-69 + 3b) + 2(b + -2)

Reorder the terms:
22 = -69 + 3b + 2(-2 + b)
22 = -69 + 3b + (-2 * 2 + b * 2)
22 = -69 + 3b + (-4 + 2b)

Reorder the terms:
22 = -69 + -4 + 3b + 2b

Combine like terms: -69 + -4 = -73
22 = -73 + 3b + 2b

Combine like terms: 3b + 2b = 5b
22 = -73 + 5b

Solving
22 = -73 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
22 + -5b = -73 + 5b + -5b

Combine like terms: 5b + -5b = 0
22 + -5b = -73 + 0
22 + -5b = -73

Add '-22' to each side of the equation.
22 + -22 + -5b = -73 + -22

Combine like terms: 22 + -22 = 0
0 + -5b = -73 + -22
-5b = -73 + -22

Combine like terms: -73 + -22 = -95
-5b = -95

Divide each side by '-5'.
b = 19

Simplifying
b = 19