0.4(b-24)=1.2b

Solution for 0.4(b-24)=1.2b equation:

Simplifying
0.4(b + -24) = 1.2b

Reorder the terms:
0.4(-24 + b) = 1.2b
(-24 * 0.4 + b * 0.4) = 1.2b
(-9.6 + 0.4b) = 1.2b

Solving
-9.6 + 0.4b = 1.2b

Solving for variable 'b'.

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

Add '-1.2b' to each side of the equation.
-9.6 + 0.4b + -1.2b = 1.2b + -1.2b

Combine like terms: 0.4b + -1.2b = -0.8b
-9.6 + -0.8b = 1.2b + -1.2b

Combine like terms: 1.2b + -1.2b = 0.0
-9.6 + -0.8b = 0.0

Add '9.6' to each side of the equation.
-9.6 + 9.6 + -0.8b = 0.0 + 9.6

Combine like terms: -9.6 + 9.6 = 0.0
0.0 + -0.8b = 0.0 + 9.6
-0.8b = 0.0 + 9.6

Combine like terms: 0.0 + 9.6 = 9.6
-0.8b = 9.6

Divide each side by '-0.8'.
b = -12

Simplifying
b = -12