2(a-6)-(a-4)=3

Solution for 2(a-6)-(a-4)=3 equation:

Simplifying
2(a + -6) + -1(a + -4) = 3

Reorder the terms:
2(-6 + a) + -1(a + -4) = 3
(-6 * 2 + a * 2) + -1(a + -4) = 3
(-12 + 2a) + -1(a + -4) = 3

Reorder the terms:
-12 + 2a + -1(-4 + a) = 3
-12 + 2a + (-4 * -1 + a * -1) = 3
-12 + 2a + (4 + -1a) = 3

Reorder the terms:
-12 + 4 + 2a + -1a = 3

Combine like terms: -12 + 4 = -8
-8 + 2a + -1a = 3

Combine like terms: 2a + -1a = 1a
-8 + 1a = 3

Solving
-8 + 1a = 3

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 8 + 1a = 3 + 8

Combine like terms: -8 + 8 = 0
0 + 1a = 3 + 8
1a = 3 + 8

Combine like terms: 3 + 8 = 11
1a = 11

Divide each side by '1'.
a = 11

Simplifying
a = 11