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

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

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

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

Reorder the terms:
3 + 1.5b = 2(-9 + b)
3 + 1.5b = (-9 * 2 + b * 2)
3 + 1.5b = (-18 + 2b)

Solving
3 + 1.5b = -18 + 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 = -18 + 2b + -2b

Combine like terms: 1.5b + -2b = -0.5b
3 + -0.5b = -18 + 2b + -2b

Combine like terms: 2b + -2b = 0
3 + -0.5b = -18 + 0
3 + -0.5b = -18

Add '-3' to each side of the equation.
3 + -3 + -0.5b = -18 + -3

Combine like terms: 3 + -3 = 0
0 + -0.5b = -18 + -3
-0.5b = -18 + -3

Combine like terms: -18 + -3 = -21
-0.5b = -21

Divide each side by '-0.5'.
b = 42

Simplifying
b = 42