a+6=5a-14

Solution for a+6=5a-14 equation:

Simplifying
a + 6 = 5a + -14

Reorder the terms:
6 + a = 5a + -14

Reorder the terms:
6 + a = -14 + 5a

Solving
6 + a = -14 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + a + -5a = -14 + 5a + -5a

Combine like terms: a + -5a = -4a
6 + -4a = -14 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -4a = -14 + 0
6 + -4a = -14

Add '-6' to each side of the equation.
6 + -6 + -4a = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -4a = -14 + -6
-4a = -14 + -6

Combine like terms: -14 + -6 = -20
-4a = -20

Divide each side by '-4'.
a = 5

Simplifying
a = 5