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

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

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

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

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

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

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

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

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

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

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

Solving
-1a = a

Solving for variable 'a'.

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

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

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

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

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

Simplifying
a = 0