.5x+(x-6)=78

Solution for .5x+(x-6)=78 equation:

Simplifying
0.5x + (x + -6) = 78

Reorder the terms:
0.5x + (-6 + x) = 78

Remove parenthesis around (-6 + x)
0.5x + -6 + x = 78

Reorder the terms:
-6 + 0.5x + x = 78

Combine like terms: 0.5x + x = 1.5x
-6 + 1.5x = 78

Solving
-6 + 1.5x = 78

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 1.5x = 78 + 6

Combine like terms: -6 + 6 = 0
0 + 1.5x = 78 + 6
1.5x = 78 + 6

Combine like terms: 78 + 6 = 84
1.5x = 84

Divide each side by '1.5'.
x = 56

Simplifying
x = 56