Respuesta :

ngogiabao1209

Answer:

b = -7

Step-by-step explanation:

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

2b + 10 = 3b - 6 + 23

10 + 6 -23 = 3b - 2b

-7 = b

murphyart04

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]