Question

2(b + 5) = 3(b - 2) + 23

Answer 1

b = -7

Explanation:

`2(b+5) = 3(b-2) + 23`

for the left side of the equation:
`2*b + 2*5 = 2b + 10`

for the right side of the equation:
`3*b + 3*-2 = 3b - 6 + 23 = 3b + 17`

`2b + 10 = 3b + 17`

to isolate b, subtract 2b from both sides

`10 = b + 17`

subtract 17 from both sides

`-7 = b\\b = -7`

Answer 2

b = -7

Explanation:

2(b + 5) = 3(b - 2) + 23

2b + 10 = 3b - 6 + 23

10 + 6 -23 = 3b - 2b

-7 = b