Please solve: b + 1 + b < 10 + 5b -12?

2b + 1 < 5b -2 <-------- that is the equation simplified
+2 +2
2b + 3 < 5b
-2b -2b
3 < 3b
/3 /3
1 < b
b > 1 <---- answer

b + 1 + b < 10 + 5b - 12
b + b + 1 < 10 - 12 + 5b
2b + 1 < -2 + 5b
2b - 5b < -2 - 1
-3b < -3
b > -3/-1
b > 3

b > 1

actually i have a question, y is the -2 (from < 5b-2)at the end. y not <-2+5b?

3 < 3b
b > 1

2b +1 < 5b -2 ( add like terms)
-2b -2b

1 < 3b -2
+2 +2

3 < 3b (divide the three from the be to the other side)

1 < b

2b+1 < 5b - 2
1+2 <5b-2b
3<3b
1>b