3b+2(b-3)=91.50

Solution for 3b+2(b-3)=91.50 equation:

Simplifying
3b + 2(b + -3) = 91.50

Reorder the terms:
3b + 2(-3 + b) = 91.50
3b + (-3 * 2 + b * 2) = 91.50
3b + (-6 + 2b) = 91.50

Reorder the terms:
-6 + 3b + 2b = 91.50

Combine like terms: 3b + 2b = 5b
-6 + 5b = 91.50

Solving
-6 + 5b = 91.50

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 5b = 91.50 + 6

Combine like terms: -6 + 6 = 0
0 + 5b = 91.50 + 6
5b = 91.50 + 6

Combine like terms: 91.50 + 6 = 97.5
5b = 97.5

Divide each side by '5'.
b = 19.5

Simplifying
b = 19.5