3(a+6)=6+a

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

Simplifying
3(a + 6) = 6 + a

Reorder the terms:
3(6 + a) = 6 + a
(6 * 3 + a * 3) = 6 + a
(18 + 3a) = 6 + a

Solving
18 + 3a = 6 + 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.
18 + 3a + -1a = 6 + a + -1a

Combine like terms: 3a + -1a = 2a
18 + 2a = 6 + a + -1a

Combine like terms: a + -1a = 0
18 + 2a = 6 + 0
18 + 2a = 6

Add '-18' to each side of the equation.
18 + -18 + 2a = 6 + -18

Combine like terms: 18 + -18 = 0
0 + 2a = 6 + -18
2a = 6 + -18

Combine like terms: 6 + -18 = -12
2a = -12

Divide each side by '2'.
a = -6

Simplifying
a = -6