5a-6=3a+6

Solution for 5a-6=3a+6 equation:

Simplifying
5a + -6 = 3a + 6

Reorder the terms:
-6 + 5a = 3a + 6

Reorder the terms:
-6 + 5a = 6 + 3a

Solving
-6 + 5a = 6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-6 + 5a + -3a = 6 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-6 + 2a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-6 + 2a = 6 + 0
-6 + 2a = 6

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

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

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

Divide each side by '2'.
a = 6

Simplifying
a = 6