17x-(5x-6)=78

Solution for 17x-(5x-6)=78 equation:

Simplifying
17x + -1(5x + -6) = 78

Reorder the terms:
17x + -1(-6 + 5x) = 78
17x + (-6 * -1 + 5x * -1) = 78
17x + (6 + -5x) = 78

Reorder the terms:
6 + 17x + -5x = 78

Combine like terms: 17x + -5x = 12x
6 + 12x = 78

Solving
6 + 12x = 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 + 12x = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = 78 + -6
12x = 78 + -6

Combine like terms: 78 + -6 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6