5-a-11=4a-21

Solution for 5-a-11=4a-21 equation:

Simplifying
5 + -1a + -11 = 4a + -21

Reorder the terms:
5 + -11 + -1a = 4a + -21

Combine like terms: 5 + -11 = -6
-6 + -1a = 4a + -21

Reorder the terms:
-6 + -1a = -21 + 4a

Solving
-6 + -1a = -21 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-6 + -1a + -4a = -21 + 4a + -4a

Combine like terms: -1a + -4a = -5a
-6 + -5a = -21 + 4a + -4a

Combine like terms: 4a + -4a = 0
-6 + -5a = -21 + 0
-6 + -5a = -21

Add '6' to each side of the equation.
-6 + 6 + -5a = -21 + 6

Combine like terms: -6 + 6 = 0
0 + -5a = -21 + 6
-5a = -21 + 6

Combine like terms: -21 + 6 = -15
-5a = -15

Divide each side by '-5'.
a = 3

Simplifying
a = 3