(x-6)-(2x-9)=2

Solution for (x-6)-(2x-9)=2 equation:

Simplifying
(x + -6) + -1(2x + -9) = 2

Reorder the terms:
(-6 + x) + -1(2x + -9) = 2

Remove parenthesis around (-6 + x)
-6 + x + -1(2x + -9) = 2

Reorder the terms:
-6 + x + -1(-9 + 2x) = 2
-6 + x + (-9 * -1 + 2x * -1) = 2
-6 + x + (9 + -2x) = 2

Reorder the terms:
-6 + 9 + x + -2x = 2

Combine like terms: -6 + 9 = 3
3 + x + -2x = 2

Combine like terms: x + -2x = -1x
3 + -1x = 2

Solving
3 + -1x = 2

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 2 + -3
-1x = 2 + -3

Combine like terms: 2 + -3 = -1
-1x = -1

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

Simplifying
x = 1