2a+6=4a-8

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

Simplifying
2a + 6 = 4a + -8

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

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

Solving
6 + 2a = -8 + 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 + 2a + -4a = -8 + 4a + -4a

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

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

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

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

Combine like terms: -8 + -6 = -14
-2a = -14

Divide each side by '-2'.
a = 7

Simplifying
a = 7