0.5x+(x+6)=78

Solution for 0.5x+(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 = 72
1.5x = 72

Divide each side by '1.5'.
x = 48

Simplifying
x = 48