2b-9+b+15=15(b+2)

Solution for 2b-9+b+15=15(b+2) equation:

Simplifying
2b + -9 + b + 15 = 15(b + 2)

Reorder the terms:
-9 + 15 + 2b + b = 15(b + 2)

Combine like terms: -9 + 15 = 6
6 + 2b + b = 15(b + 2)

Combine like terms: 2b + b = 3b
6 + 3b = 15(b + 2)

Reorder the terms:
6 + 3b = 15(2 + b)
6 + 3b = (2 * 15 + b * 15)
6 + 3b = (30 + 15b)

Solving
6 + 3b = 30 + 15b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-15b' to each side of the equation.
6 + 3b + -15b = 30 + 15b + -15b

Combine like terms: 3b + -15b = -12b
6 + -12b = 30 + 15b + -15b

Combine like terms: 15b + -15b = 0
6 + -12b = 30 + 0
6 + -12b = 30

Add '-6' to each side of the equation.
6 + -6 + -12b = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -12b = 30 + -6
-12b = 30 + -6

Combine like terms: 30 + -6 = 24
-12b = 24

Divide each side by '-12'.
b = -2

Simplifying
b = -2