2(5a-3)-9a+12=0

Solution for 2(5a-3)-9a+12=0 equation:

Simplifying
2(5a + -3) + -9a + 12 = 0

Reorder the terms:
2(-3 + 5a) + -9a + 12 = 0
(-3 * 2 + 5a * 2) + -9a + 12 = 0
(-6 + 10a) + -9a + 12 = 0

Reorder the terms:
-6 + 12 + 10a + -9a = 0

Combine like terms: -6 + 12 = 6
6 + 10a + -9a = 0

Combine like terms: 10a + -9a = 1a
6 + 1a = 0

Solving
6 + 1a = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = 0 + -6
1a = 0 + -6

Combine like terms: 0 + -6 = -6
1a = -6

Divide each side by '1'.
a = -6

Simplifying
a = -6