40-b(5)=3(b)

Solution for 40-b(5)=3(b) equation:

Simplifying
40 + -1b(5) = 3(b)

Reorder the terms for easier multiplication:
40 + -1 * 5b = 3(b)

Multiply -1 * 5
40 + -5b = 3(b)

Solving
40 + -5b = 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
40 + -5b + -3b = 3b + -3b

Combine like terms: -5b + -3b = -8b
40 + -8b = 3b + -3b

Combine like terms: 3b + -3b = 0
40 + -8b = 0

Add '-40' to each side of the equation.
40 + -40 + -8b = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -8b = 0 + -40
-8b = 0 + -40

Combine like terms: 0 + -40 = -40
-8b = -40

Divide each side by '-8'.
b = 5

Simplifying
b = 5