4a+2(a-3)=12

Solution for 4a+2(a-3)=12 equation:

Simplifying
4a + 2(a + -3) = 12

Reorder the terms:
4a + 2(-3 + a) = 12
4a + (-3 * 2 + a * 2) = 12
4a + (-6 + 2a) = 12

Reorder the terms:
-6 + 4a + 2a = 12

Combine like terms: 4a + 2a = 6a
-6 + 6a = 12

Solving
-6 + 6a = 12

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 + 6a = 12 + 6

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

Combine like terms: 12 + 6 = 18
6a = 18

Divide each side by '6'.
a = 3

Simplifying
a = 3