5(a+6)=6+a

Solution for 5(a+6)=6+a equation:

Simplifying
5(a + 6) = 6 + a

Reorder the terms:
5(6 + a) = 6 + a
(6 * 5 + a * 5) = 6 + a
(30 + 5a) = 6 + a

Solving
30 + 5a = 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.
30 + 5a + -1a = 6 + a + -1a

Combine like terms: 5a + -1a = 4a
30 + 4a = 6 + a + -1a

Combine like terms: a + -1a = 0
30 + 4a = 6 + 0
30 + 4a = 6

Add '-30' to each side of the equation.
30 + -30 + 4a = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 4a = 6 + -30
4a = 6 + -30

Combine like terms: 6 + -30 = -24
4a = -24

Divide each side by '4'.
a = -6

Simplifying
a = -6