3.2+3.8a-0.6(5a-4)=7.2

Solution for 3.2+3.8a-0.6(5a-4)=7.2 equation:

Simplifying
3.2 + 3.8a + -0.6(5a + -4) = 7.2

Reorder the terms:
3.2 + 3.8a + -0.6(-4 + 5a) = 7.2
3.2 + 3.8a + (-4 * -0.6 + 5a * -0.6) = 7.2
3.2 + 3.8a + (2.4 + -3a) = 7.2

Reorder the terms:
3.2 + 2.4 + 3.8a + -3a = 7.2

Combine like terms: 3.2 + 2.4 = 5.6
5.6 + 3.8a + -3a = 7.2

Combine like terms: 3.8a + -3a = 0.8a
5.6 + 0.8a = 7.2

Solving
5.6 + 0.8a = 7.2

Solving for variable 'a'.

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

Add '-5.6' to each side of the equation.
5.6 + -5.6 + 0.8a = 7.2 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + 0.8a = 7.2 + -5.6
0.8a = 7.2 + -5.6

Combine like terms: 7.2 + -5.6 = 1.6
0.8a = 1.6

Divide each side by '0.8'.
a = 2

Simplifying
a = 2