12(a-2)+3(10-a)=a

Solution for 12(a-2)+3(10-a)=a equation:

Simplifying
12(a + -2) + 3(10 + -1a) = a

Reorder the terms:
12(-2 + a) + 3(10 + -1a) = a
(-2 * 12 + a * 12) + 3(10 + -1a) = a
(-24 + 12a) + 3(10 + -1a) = a
-24 + 12a + (10 * 3 + -1a * 3) = a
-24 + 12a + (30 + -3a) = a

Reorder the terms:
-24 + 30 + 12a + -3a = a

Combine like terms: -24 + 30 = 6
6 + 12a + -3a = a

Combine like terms: 12a + -3a = 9a
6 + 9a = a

Solving
6 + 9a = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
6 + 9a + -1a = a + -1a

Combine like terms: 9a + -1a = 8a
6 + 8a = a + -1a

Combine like terms: a + -1a = 0
6 + 8a = 0

Add '-6' to each side of the equation.
6 + -6 + 8a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 8a = 0 + -6
8a = 0 + -6

Combine like terms: 0 + -6 = -6
8a = -6

Divide each side by '8'.
a = -0.75

Simplifying
a = -0.75