6-5a=a-17

Solution for 6-5a=a-17 equation:

Simplifying
6 + -5a = a + -17

Reorder the terms:
6 + -5a = -17 + a

Solving
6 + -5a = -17 + 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 + -5a + -1a = -17 + a + -1a

Combine like terms: -5a + -1a = -6a
6 + -6a = -17 + a + -1a

Combine like terms: a + -1a = 0
6 + -6a = -17 + 0
6 + -6a = -17

Add '-6' to each side of the equation.
6 + -6 + -6a = -17 + -6

Combine like terms: 6 + -6 = 0
0 + -6a = -17 + -6
-6a = -17 + -6

Combine like terms: -17 + -6 = -23
-6a = -23

Divide each side by '-6'.
a = 3.833333333

Simplifying
a = 3.833333333