Question

Please solve this equation algebraically.

9(b - 4) - 7b = 5(3b -2)

And show your work.

Answer 1

b = -2

Explanation:

Given expression:

9(b - 4) - 7b = 5(3b -2)

Using distributive properties, open the parentheses;

9b - 36 - 7b = 15b - 10

2b - 36 = 15b -10

collect like terms;

2b - 15b = - 10 + 36

-13b = 26

Divide both sides by -13;

b = -2