2a-6=a+33

Solution for 2a-6=a+33 equation:

Simplifying
2a + -6 = a + 33

Reorder the terms:
-6 + 2a = a + 33

Reorder the terms:
-6 + 2a = 33 + a

Solving
-6 + 2a = 33 + 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 + 2a + -1a = 33 + a + -1a

Combine like terms: 2a + -1a = 1a
-6 + 1a = 33 + a + -1a

Combine like terms: a + -1a = 0
-6 + 1a = 33 + 0
-6 + 1a = 33

Add '6' to each side of the equation.
-6 + 6 + 1a = 33 + 6

Combine like terms: -6 + 6 = 0
0 + 1a = 33 + 6
1a = 33 + 6

Combine like terms: 33 + 6 = 39
1a = 39

Divide each side by '1'.
a = 39

Simplifying
a = 39