4x+6=-4x+78

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

Simplifying
4x + 6 = -4x + 78

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

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

Solving
6 + 4x = 78 + -4x

Solving for variable 'x'.

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

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

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

Combine like terms: -4x + 4x = 0
6 + 8x = 78 + 0
6 + 8x = 78

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

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

Combine like terms: 78 + -6 = 72
8x = 72

Divide each side by '8'.
x = 9

Simplifying
x = 9