5a-6=19a-2a

Solution for 5a-6=19a-2a equation:

Simplifying
5a + -6 = 19a + -2a

Reorder the terms:
-6 + 5a = 19a + -2a

Combine like terms: 19a + -2a = 17a
-6 + 5a = 17a

Solving
-6 + 5a = 17a

Solving for variable 'a'.

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

Add '-17a' to each side of the equation.
-6 + 5a + -17a = 17a + -17a

Combine like terms: 5a + -17a = -12a
-6 + -12a = 17a + -17a

Combine like terms: 17a + -17a = 0
-6 + -12a = 0

Add '6' to each side of the equation.
-6 + 6 + -12a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -12a = 0 + 6
-12a = 0 + 6

Combine like terms: 0 + 6 = 6
-12a = 6

Divide each side by '-12'.
a = -0.5

Simplifying
a = -0.5