5a-6=6+a

Solution for 5a-6=6+a equation:

Simplifying
5a + -6 = 6 + a

Reorder the terms:
-6 + 5a = 6 + a

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

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

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

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

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

Combine like terms: 6 + 6 = 12
4a = 12

Divide each side by '4'.
a = 3

Simplifying
a = 3