a+6=2(a-6)

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

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

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

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

Solving
6 + a = -12 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
6 + a + -2a = -12 + 2a + -2a

Combine like terms: a + -2a = -1a
6 + -1a = -12 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + -1a = -12 + 0
6 + -1a = -12

Add '-6' to each side of the equation.
6 + -6 + -1a = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = -12 + -6
-1a = -12 + -6

Combine like terms: -12 + -6 = -18
-1a = -18

Divide each side by '-1'.
a = 18

Simplifying
a = 18