0.5(2a-3)-0.1=0.4(6+2a)

Solution for 0.5(2a-3)-0.1=0.4(6+2a) equation:

Simplifying
0.5(2a + -3) + -0.1 = 0.4(6 + 2a)

Reorder the terms:
0.5(-3 + 2a) + -0.1 = 0.4(6 + 2a)
(-3 * 0.5 + 2a * 0.5) + -0.1 = 0.4(6 + 2a)
(-1.5 + 1a) + -0.1 = 0.4(6 + 2a)

Reorder the terms:
-1.5 + -0.1 + 1a = 0.4(6 + 2a)

Combine like terms: -1.5 + -0.1 = -1.6
-1.6 + 1a = 0.4(6 + 2a)
-1.6 + 1a = (6 * 0.4 + 2a * 0.4)
-1.6 + 1a = (2.4 + 0.8a)

Solving
-1.6 + 1a = 2.4 + 0.8a

Solving for variable 'a'.

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

Add '-0.8a' to each side of the equation.
-1.6 + 1a + -0.8a = 2.4 + 0.8a + -0.8a

Combine like terms: 1a + -0.8a = 0.2a
-1.6 + 0.2a = 2.4 + 0.8a + -0.8a

Combine like terms: 0.8a + -0.8a = 0.0
-1.6 + 0.2a = 2.4 + 0.0
-1.6 + 0.2a = 2.4

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.2a = 2.4 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.2a = 2.4 + 1.6
0.2a = 2.4 + 1.6

Combine like terms: 2.4 + 1.6 = 4
0.2a = 4

Divide each side by '0.2'.
a = 20

Simplifying
a = 20