78=50x+(x-6)

Solution for 78=50x+(x-6) equation:

Simplifying
78 = 50x + (x + -6)

Reorder the terms:
78 = 50x + (-6 + x)

Remove parenthesis around (-6 + x)
78 = 50x + -6 + x

Reorder the terms:
78 = -6 + 50x + x

Combine like terms: 50x + x = 51x
78 = -6 + 51x

Solving
78 = -6 + 51x

Solving for variable 'x'.

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

Add '-51x' to each side of the equation.
78 + -51x = -6 + 51x + -51x

Combine like terms: 51x + -51x = 0
78 + -51x = -6 + 0
78 + -51x = -6

Add '-78' to each side of the equation.
78 + -78 + -51x = -6 + -78

Combine like terms: 78 + -78 = 0
0 + -51x = -6 + -78
-51x = -6 + -78

Combine like terms: -6 + -78 = -84
-51x = -84

Divide each side by '-51'.
x = 1.647058824

Simplifying
x = 1.647058824