-8b+37=-8(7b+8)+5

Solution for -8b+37=-8(7b+8)+5 equation:

Simplifying
-8b + 37 = -8(7b + 8) + 5

Reorder the terms:
37 + -8b = -8(7b + 8) + 5

Reorder the terms:
37 + -8b = -8(8 + 7b) + 5
37 + -8b = (8 * -8 + 7b * -8) + 5
37 + -8b = (-64 + -56b) + 5

Reorder the terms:
37 + -8b = -64 + 5 + -56b

Combine like terms: -64 + 5 = -59
37 + -8b = -59 + -56b

Solving
37 + -8b = -59 + -56b

Solving for variable 'b'.

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

Add '56b' to each side of the equation.
37 + -8b + 56b = -59 + -56b + 56b

Combine like terms: -8b + 56b = 48b
37 + 48b = -59 + -56b + 56b

Combine like terms: -56b + 56b = 0
37 + 48b = -59 + 0
37 + 48b = -59

Add '-37' to each side of the equation.
37 + -37 + 48b = -59 + -37

Combine like terms: 37 + -37 = 0
0 + 48b = -59 + -37
48b = -59 + -37

Combine like terms: -59 + -37 = -96
48b = -96

Divide each side by '48'.
b = -2

Simplifying
b = -2