5a-6=11a-33

Solution for 5a-6=11a-33 equation:

Simplifying
5a + -6 = 11a + -33

Reorder the terms:
-6 + 5a = 11a + -33

Reorder the terms:
-6 + 5a = -33 + 11a

Solving
-6 + 5a = -33 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
-6 + 5a + -11a = -33 + 11a + -11a

Combine like terms: 5a + -11a = -6a
-6 + -6a = -33 + 11a + -11a

Combine like terms: 11a + -11a = 0
-6 + -6a = -33 + 0
-6 + -6a = -33

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

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

Combine like terms: -33 + 6 = -27
-6a = -27

Divide each side by '-6'.
a = 4.5

Simplifying
a = 4.5