0.4(a-48)=1.2a

Solution for 0.4(a-48)=1.2a equation:

Simplifying
0.4(a + -48) = 1.2a

Reorder the terms:
0.4(-48 + a) = 1.2a
(-48 * 0.4 + a * 0.4) = 1.2a
(-19.2 + 0.4a) = 1.2a

Solving
-19.2 + 0.4a = 1.2a

Solving for variable 'a'.

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

Add '-1.2a' to each side of the equation.
-19.2 + 0.4a + -1.2a = 1.2a + -1.2a

Combine like terms: 0.4a + -1.2a = -0.8a
-19.2 + -0.8a = 1.2a + -1.2a

Combine like terms: 1.2a + -1.2a = 0.0
-19.2 + -0.8a = 0.0

Add '19.2' to each side of the equation.
-19.2 + 19.2 + -0.8a = 0.0 + 19.2

Combine like terms: -19.2 + 19.2 = 0.0
0.0 + -0.8a = 0.0 + 19.2
-0.8a = 0.0 + 19.2

Combine like terms: 0.0 + 19.2 = 19.2
-0.8a = 19.2

Divide each side by '-0.8'.
a = -24

Simplifying
a = -24