4x-6=78-8x

Solution for 4x-6=78-8x equation:

Simplifying
4x + -6 = 78 + -8x

Reorder the terms:
-6 + 4x = 78 + -8x

Solving
-6 + 4x = 78 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6 + 4x + 8x = 78 + -8x + 8x

Combine like terms: 4x + 8x = 12x
-6 + 12x = 78 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 12x = 78 + 0
-6 + 12x = 78

Add '6' to each side of the equation.
-6 + 6 + 12x = 78 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 78 + 6
12x = 78 + 6

Combine like terms: 78 + 6 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7