78=x+(x-6)

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

Simplifying
78 = x + (x + -6)

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

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

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

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

Solving
78 = -6 + 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.
78 + -2x = -6 + 2x + -2x

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

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

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

Combine like terms: -6 + -78 = -84
-2x = -84

Divide each side by '-2'.
x = 42

Simplifying
x = 42