6(a+3.9)=12a-3.0

Solution for 6(a+3.9)=12a-3.0 equation:

Simplifying
6(a + 3.9) = 12a + -3.0

Reorder the terms:
6(3.9 + a) = 12a + -3.0
(3.9 * 6 + a * 6) = 12a + -3.0
(23.4 + 6a) = 12a + -3.0

Reorder the terms:
23.4 + 6a = -3.0 + 12a

Solving
23.4 + 6a = -3.0 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
23.4 + 6a + -12a = -3.0 + 12a + -12a

Combine like terms: 6a + -12a = -6a
23.4 + -6a = -3.0 + 12a + -12a

Combine like terms: 12a + -12a = 0
23.4 + -6a = -3.0 + 0
23.4 + -6a = -3.0

Add '-23.4' to each side of the equation.
23.4 + -23.4 + -6a = -3.0 + -23.4

Combine like terms: 23.4 + -23.4 = 0.0
0.0 + -6a = -3.0 + -23.4
-6a = -3.0 + -23.4

Combine like terms: -3.0 + -23.4 = -26.4
-6a = -26.4

Divide each side by '-6'.
a = 4.4

Simplifying
a = 4.4