9a-6=5a+22

Solution for 9a-6=5a+22 equation:

Simplifying
9a + -6 = 5a + 22

Reorder the terms:
-6 + 9a = 5a + 22

Reorder the terms:
-6 + 9a = 22 + 5a

Solving
-6 + 9a = 22 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-6 + 9a + -5a = 22 + 5a + -5a

Combine like terms: 9a + -5a = 4a
-6 + 4a = 22 + 5a + -5a

Combine like terms: 5a + -5a = 0
-6 + 4a = 22 + 0
-6 + 4a = 22

Add '6' to each side of the equation.
-6 + 6 + 4a = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 4a = 22 + 6
4a = 22 + 6

Combine like terms: 22 + 6 = 28
4a = 28

Divide each side by '4'.
a = 7

Simplifying
a = 7