56=-2(23-b)+4(b-3)

Solution for 56=-2(23-b)+4(b-3) equation:

Simplifying
56 = -2(23 + -1b) + 4(b + -3)
56 = (23 * -2 + -1b * -2) + 4(b + -3)
56 = (-46 + 2b) + 4(b + -3)

Reorder the terms:
56 = -46 + 2b + 4(-3 + b)
56 = -46 + 2b + (-3 * 4 + b * 4)
56 = -46 + 2b + (-12 + 4b)

Reorder the terms:
56 = -46 + -12 + 2b + 4b

Combine like terms: -46 + -12 = -58
56 = -58 + 2b + 4b

Combine like terms: 2b + 4b = 6b
56 = -58 + 6b

Solving
56 = -58 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
56 + -6b = -58 + 6b + -6b

Combine like terms: 6b + -6b = 0
56 + -6b = -58 + 0
56 + -6b = -58

Add '-56' to each side of the equation.
56 + -56 + -6b = -58 + -56

Combine like terms: 56 + -56 = 0
0 + -6b = -58 + -56
-6b = -58 + -56

Combine like terms: -58 + -56 = -114
-6b = -114

Divide each side by '-6'.
b = 19

Simplifying
b = 19