4x+6=78-2x

Solution for 4x+6=78-2x equation:

Simplifying
4x + 6 = 78 + -2x

Reorder the terms:
6 + 4x = 78 + -2x

Solving
6 + 4x = 78 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 4x + 2x = 78 + -2x + 2x

Combine like terms: 4x + 2x = 6x
6 + 6x = 78 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 6x = 78 + 0
6 + 6x = 78

Add '-6' to each side of the equation.
6 + -6 + 6x = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 78 + -6
6x = 78 + -6

Combine like terms: 78 + -6 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12