(x-1)-(x+2)-(x-3)=x

Solution for (x-1)-(x+2)-(x-3)=x equation:

Simplifying
(x + -1) + -1(x + 2) + -1(x + -3) = x

Reorder the terms:
(-1 + x) + -1(x + 2) + -1(x + -3) = x

Remove parenthesis around (-1 + x)
-1 + x + -1(x + 2) + -1(x + -3) = x

Reorder the terms:
-1 + x + -1(2 + x) + -1(x + -3) = x
-1 + x + (2 * -1 + x * -1) + -1(x + -3) = x
-1 + x + (-2 + -1x) + -1(x + -3) = x

Reorder the terms:
-1 + x + -2 + -1x + -1(-3 + x) = x
-1 + x + -2 + -1x + (-3 * -1 + x * -1) = x
-1 + x + -2 + -1x + (3 + -1x) = x

Reorder the terms:
-1 + -2 + 3 + x + -1x + -1x = x

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

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

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

Solving
-1x = x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0