2x-(x-6)=13

Solution for 2x-(x-6)=13 equation:

Simplifying
2x + -1(x + -6) = 13

Reorder the terms:
2x + -1(-6 + x) = 13
2x + (-6 * -1 + x * -1) = 13
2x + (6 + -1x) = 13

Reorder the terms:
6 + 2x + -1x = 13

Combine like terms: 2x + -1x = 1x
6 + 1x = 13

Solving
6 + 1x = 13

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 + 1x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 13 + -6
1x = 13 + -6

Combine like terms: 13 + -6 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7