5(24-b)=7b

Solution for 5(24-b)=7b equation:

Simplifying
5(24 + -1b) = 7b
(24 * 5 + -1b * 5) = 7b
(120 + -5b) = 7b

Solving
120 + -5b = 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
120 + -5b + -7b = 7b + -7b

Combine like terms: -5b + -7b = -12b
120 + -12b = 7b + -7b

Combine like terms: 7b + -7b = 0
120 + -12b = 0

Add '-120' to each side of the equation.
120 + -120 + -12b = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -12b = 0 + -120
-12b = 0 + -120

Combine like terms: 0 + -120 = -120
-12b = -120

Divide each side by '-12'.
b = 10

Simplifying
b = 10