15.3-2.4(6-a)=3a

Solution for 15.3-2.4(6-a)=3a equation:

Simplifying
15.3 + -2.4(6 + -1a) = 3a
15.3 + (6 * -2.4 + -1a * -2.4) = 3a
15.3 + (-14.4 + 2.4a) = 3a

Combine like terms: 15.3 + -14.4 = 0.9
0.9 + 2.4a = 3a

Solving
0.9 + 2.4a = 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
0.9 + 2.4a + -3a = 3a + -3a

Combine like terms: 2.4a + -3a = -0.6a
0.9 + -0.6a = 3a + -3a

Combine like terms: 3a + -3a = 0
0.9 + -0.6a = 0

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -0.6a = 0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -0.6a = 0 + -0.9
-0.6a = 0 + -0.9

Combine like terms: 0 + -0.9 = -0.9
-0.6a = -0.9

Divide each side by '-0.6'.
a = 1.5

Simplifying
a = 1.5