-0.8(2a-3)=0.2(2-3a)

Solution for -0.8(2a-3)=0.2(2-3a) equation:

Simplifying
-0.8(2a + -3) = 0.2(2 + -3a)

Reorder the terms:
-0.8(-3 + 2a) = 0.2(2 + -3a)
(-3 * -0.8 + 2a * -0.8) = 0.2(2 + -3a)
(2.4 + -1.6a) = 0.2(2 + -3a)
2.4 + -1.6a = (2 * 0.2 + -3a * 0.2)
2.4 + -1.6a = (0.4 + -0.6a)

Solving
2.4 + -1.6a = 0.4 + -0.6a

Solving for variable 'a'.

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

Add '0.6a' to each side of the equation.
2.4 + -1.6a + 0.6a = 0.4 + -0.6a + 0.6a

Combine like terms: -1.6a + 0.6a = -1a
2.4 + -1a = 0.4 + -0.6a + 0.6a

Combine like terms: -0.6a + 0.6a = 0.0
2.4 + -1a = 0.4 + 0.0
2.4 + -1a = 0.4

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -1a = 0.4 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -1a = 0.4 + -2.4
-1a = 0.4 + -2.4

Combine like terms: 0.4 + -2.4 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2