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

Solution for 1.5(b+2)=(2b-9)+15 equation:

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

Reorder the terms:
1.5(2 + b) = (2b + -9) + 15
(2 * 1.5 + b * 1.5) = (2b + -9) + 15
(3 + 1.5b) = (2b + -9) + 15

Reorder the terms:
3 + 1.5b = (-9 + 2b) + 15

Remove parenthesis around (-9 + 2b)
3 + 1.5b = -9 + 2b + 15

Reorder the terms:
3 + 1.5b = -9 + 15 + 2b

Combine like terms: -9 + 15 = 6
3 + 1.5b = 6 + 2b

Solving
3 + 1.5b = 6 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
3 + 1.5b + -2b = 6 + 2b + -2b

Combine like terms: 1.5b + -2b = -0.5b
3 + -0.5b = 6 + 2b + -2b

Combine like terms: 2b + -2b = 0
3 + -0.5b = 6 + 0
3 + -0.5b = 6

Add '-3' to each side of the equation.
3 + -3 + -0.5b = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -0.5b = 6 + -3
-0.5b = 6 + -3

Combine like terms: 6 + -3 = 3
-0.5b = 3

Divide each side by '-0.5'.
b = -6

Simplifying
b = -6