5X+6=78-4X

Solution for 5X+6=78-4X equation:

Simplifying
5X + 6 = 78 + -4X

Reorder the terms:
6 + 5X = 78 + -4X

Solving
6 + 5X = 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 + 5X + 4X = 78 + -4X + 4X

Combine like terms: 5X + 4X = 9X
6 + 9X = 78 + -4X + 4X

Combine like terms: -4X + 4X = 0
6 + 9X = 78 + 0
6 + 9X = 78

Add '-6' to each side of the equation.
6 + -6 + 9X = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 9X = 78 + -6
9X = 78 + -6

Combine like terms: 78 + -6 = 72
9X = 72

Divide each side by '9'.
X = 8

Simplifying
X = 8