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

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


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

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

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

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

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

Combine like terms: 3 + 15 = 18
90 = 18 + -9 + b + 1.5b + 2b

Combine like terms: 18 + -9 = 9
90 = 9 + b + 1.5b + 2b

Combine like terms: b + 1.5b = 2.5b
90 = 9 + 2.5b + 2b

Combine like terms: 2.5b + 2b = 4.5b
90 = 9 + 4.5b

Solving
90 = 9 + 4.5b

Solving for variable 'b'.

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

Add '-4.5b' to each side of the equation.
90 + -4.5b = 9 + 4.5b + -4.5b

Combine like terms: 4.5b + -4.5b = 0.0
90 + -4.5b = 9 + 0.0
90 + -4.5b = 9

Add '-90' to each side of the equation.
90 + -90 + -4.5b = 9 + -90

Combine like terms: 90 + -90 = 0
0 + -4.5b = 9 + -90
-4.5b = 9 + -90

Combine like terms: 9 + -90 = -81
-4.5b = -81

Divide each side by '-4.5'.
b = 18

Simplifying
b = 18

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