0.4a-0.9=2.3-0.4(3a-8)

Solution for 0.4a-0.9=2.3-0.4(3a-8) equation:

Simplifying
0.4a + -0.9 = 2.3 + -0.4(3a + -8)

Reorder the terms:
-0.9 + 0.4a = 2.3 + -0.4(3a + -8)

Reorder the terms:
-0.9 + 0.4a = 2.3 + -0.4(-8 + 3a)
-0.9 + 0.4a = 2.3 + (-8 * -0.4 + 3a * -0.4)
-0.9 + 0.4a = 2.3 + (3.2 + -1.2a)

Combine like terms: 2.3 + 3.2 = 5.5
-0.9 + 0.4a = 5.5 + -1.2a

Solving
-0.9 + 0.4a = 5.5 + -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.
-0.9 + 0.4a + 1.2a = 5.5 + -1.2a + 1.2a

Combine like terms: 0.4a + 1.2a = 1.6a
-0.9 + 1.6a = 5.5 + -1.2a + 1.2a

Combine like terms: -1.2a + 1.2a = 0.0
-0.9 + 1.6a = 5.5 + 0.0
-0.9 + 1.6a = 5.5

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 1.6a = 5.5 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 1.6a = 5.5 + 0.9
1.6a = 5.5 + 0.9

Combine like terms: 5.5 + 0.9 = 6.4
1.6a = 6.4

Divide each side by '1.6'.
a = 4

Simplifying
a = 4