a+6=4a-2

Solution for a+6=4a-2 equation:

Simplifying
a + 6 = 4a + -2

Reorder the terms:
6 + a = 4a + -2

Reorder the terms:
6 + a = -2 + 4a

Solving
6 + a = -2 + 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 + a + -4a = -2 + 4a + -4a

Combine like terms: a + -4a = -3a
6 + -3a = -2 + 4a + -4a

Combine like terms: 4a + -4a = 0
6 + -3a = -2 + 0
6 + -3a = -2

Add '-6' to each side of the equation.
6 + -6 + -3a = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -3a = -2 + -6
-3a = -2 + -6

Combine like terms: -2 + -6 = -8
-3a = -8

Divide each side by '-3'.
a = 2.666666667

Simplifying
a = 2.666666667