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

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

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

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

Reorder the terms:
-6 + 2a = 3 + -6 + a

Combine like terms: 3 + -6 = -3
-6 + 2a = -3 + a

Solving
-6 + 2a = -3 + 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 + 2a + -1a = -3 + a + -1a

Combine like terms: 2a + -1a = 1a
-6 + 1a = -3 + a + -1a

Combine like terms: a + -1a = 0
-6 + 1a = -3 + 0
-6 + 1a = -3

Add '6' to each side of the equation.
-6 + 6 + 1a = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 1a = -3 + 6
1a = -3 + 6

Combine like terms: -3 + 6 = 3
1a = 3

Divide each side by '1'.
a = 3

Simplifying
a = 3