0.1(a-0.2)=1.2+2.4a

Solution for 0.1(a-0.2)=1.2+2.4a equation:

Simplifying
0.1(a + -0.2) = 1.2 + 2.4a

Reorder the terms:
0.1(-0.2 + a) = 1.2 + 2.4a
(-0.2 * 0.1 + a * 0.1) = 1.2 + 2.4a
(-0.02 + 0.1a) = 1.2 + 2.4a

Solving
-0.02 + 0.1a = 1.2 + 2.4a

Solving for variable 'a'.

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

Add '-2.4a' to each side of the equation.
-0.02 + 0.1a + -2.4a = 1.2 + 2.4a + -2.4a

Combine like terms: 0.1a + -2.4a = -2.3a
-0.02 + -2.3a = 1.2 + 2.4a + -2.4a

Combine like terms: 2.4a + -2.4a = 0.0
-0.02 + -2.3a = 1.2 + 0.0
-0.02 + -2.3a = 1.2

Add '0.02' to each side of the equation.
-0.02 + 0.02 + -2.3a = 1.2 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + -2.3a = 1.2 + 0.02
-2.3a = 1.2 + 0.02

Combine like terms: 1.2 + 0.02 = 1.22
-2.3a = 1.22

Divide each side by '-2.3'.
a = -0.5304347826

Simplifying
a = -0.5304347826