-113=2(3-5b)-7b

Solution for -113=2(3-5b)-7b equation:

Simplifying
-113 = 2(3 + -5b) + -7b
-113 = (3 * 2 + -5b * 2) + -7b
-113 = (6 + -10b) + -7b

Combine like terms: -10b + -7b = -17b
-113 = 6 + -17b

Solving
-113 = 6 + -17b

Solving for variable 'b'.

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

Add '17b' to each side of the equation.
-113 + 17b = 6 + -17b + 17b

Combine like terms: -17b + 17b = 0
-113 + 17b = 6 + 0
-113 + 17b = 6

Add '113' to each side of the equation.
-113 + 113 + 17b = 6 + 113

Combine like terms: -113 + 113 = 0
0 + 17b = 6 + 113
17b = 6 + 113

Combine like terms: 6 + 113 = 119
17b = 119

Divide each side by '17'.
b = 7

Simplifying
b = 7