5a+6=6a-6

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

Simplifying
5a + 6 = 6a + -6

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

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

Solving
6 + 5a = -6 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
6 + 5a + -6a = -6 + 6a + -6a

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

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

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

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

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

Divide each side by '-1'.
a = 12

Simplifying
a = 12