Answer:
b = -7
Step-by-step explanation:
[tex]2(b+5) = 3(b-2) + 23[/tex]
for the left side of the equation: [tex]2*b + 2*5 = 2b + 10[/tex]
for the right side of the equation: [tex]3*b + 3*-2 = 3b - 6 + 23 = 3b + 17[/tex]
[tex]2b + 10 = 3b + 17[/tex]
to isolate b, subtract 2b from both sides
[tex]10 = b + 17[/tex]
subtract 17 from both sides
[tex]-7 = b\\b = -7[/tex]
