6-(x-5)=2

Solution for 6-(x-5)=2 equation:

Simplifying
6 + -1(x + -5) = 2

Reorder the terms:
6 + -1(-5 + x) = 2
6 + (-5 * -1 + x * -1) = 2
6 + (5 + -1x) = 2

Combine like terms: 6 + 5 = 11
11 + -1x = 2

Solving
11 + -1x = 2

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 2 + -11
-1x = 2 + -11

Combine like terms: 2 + -11 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9