Answer
b=5
Work Step by Step
Reorder the terms:
2(4 + b) + -3 = 15
(4 * 2 + b * 2) + -3 = 15
(8 + 2b) + -3 = 15
Reorder the terms:
8 + -3 + 2b = 15
Combine like terms: 8 + -3 = 5
5 + 2b = 15
Solving
5 + 2b = 15
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 2b = 15 + -5
Combine like terms: 5 + -5 = 0
0 + 2b = 15 + -5
2b = 15 + -5
Combine like terms: 15 + -5 = 10
2b = 10
Divide each side by '2'.
b = 5
Simplifying
b = 5