1.5(b+2)+15(2b-9)=90

Solution for 1.5(b+2)+15(2b-9)=90 equation:

Simplifying
1.5(b + 2) + 15(2b + -9) = 90

Reorder the terms:
1.5(2 + b) + 15(2b + -9) = 90
(2 * 1.5 + b * 1.5) + 15(2b + -9) = 90
(3 + 1.5b) + 15(2b + -9) = 90

Reorder the terms:
3 + 1.5b + 15(-9 + 2b) = 90
3 + 1.5b + (-9 * 15 + 2b * 15) = 90
3 + 1.5b + (-135 + 30b) = 90

Reorder the terms:
3 + -135 + 1.5b + 30b = 90

Combine like terms: 3 + -135 = -132
-132 + 1.5b + 30b = 90

Combine like terms: 1.5b + 30b = 31.5b
-132 + 31.5b = 90

Solving
-132 + 31.5b = 90

Solving for variable 'b'.

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

Add '132' to each side of the equation.
-132 + 132 + 31.5b = 90 + 132

Combine like terms: -132 + 132 = 0
0 + 31.5b = 90 + 132
31.5b = 90 + 132

Combine like terms: 90 + 132 = 222
31.5b = 222

Divide each side by '31.5'.
b = 7.047619048

Simplifying
b = 7.047619048