4a+6=8a-2

Solution for 4a+6=8a-2 equation:

Simplifying
4a + 6 = 8a + -2

Reorder the terms:
6 + 4a = 8a + -2

Reorder the terms:
6 + 4a = -2 + 8a

Solving
6 + 4a = -2 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
6 + 4a + -8a = -2 + 8a + -8a

Combine like terms: 4a + -8a = -4a
6 + -4a = -2 + 8a + -8a

Combine like terms: 8a + -8a = 0
6 + -4a = -2 + 0
6 + -4a = -2

Add '-6' to each side of the equation.
6 + -6 + -4a = -2 + -6

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

Combine like terms: -2 + -6 = -8
-4a = -8

Divide each side by '-4'.
a = 2

Simplifying
a = 2