(x-6)-(2x-10)=2

Solution for (x-6)-(2x-10)=2 equation:

Simplifying
(x + -6) + -1(2x + -10) = 2

Reorder the terms:
(-6 + x) + -1(2x + -10) = 2

Remove parenthesis around (-6 + x)
-6 + x + -1(2x + -10) = 2

Reorder the terms:
-6 + x + -1(-10 + 2x) = 2
-6 + x + (-10 * -1 + 2x * -1) = 2
-6 + x + (10 + -2x) = 2

Reorder the terms:
-6 + 10 + x + -2x = 2

Combine like terms: -6 + 10 = 4
4 + x + -2x = 2

Combine like terms: x + -2x = -1x
4 + -1x = 2

Solving
4 + -1x = 2

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 2 + -4
-1x = 2 + -4

Combine like terms: 2 + -4 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2