(x-1)+(x-2)-(x-3)=-4

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Solution for (x-1)+(x-2)-(x-3)=-4 equation:


Simplifying
(x + -1) + (x + -2) + -1(x + -3) = -4

Reorder the terms:
(-1 + x) + (x + -2) + -1(x + -3) = -4

Remove parenthesis around (-1 + x)
-1 + x + (x + -2) + -1(x + -3) = -4

Reorder the terms:
-1 + x + (-2 + x) + -1(x + -3) = -4

Remove parenthesis around (-2 + x)
-1 + x + -2 + x + -1(x + -3) = -4

Reorder the terms:
-1 + x + -2 + x + -1(-3 + x) = -4
-1 + x + -2 + x + (-3 * -1 + x * -1) = -4
-1 + x + -2 + x + (3 + -1x) = -4

Reorder the terms:
-1 + -2 + 3 + x + x + -1x = -4

Combine like terms: -1 + -2 = -3
-3 + 3 + x + x + -1x = -4

Combine like terms: -3 + 3 = 0
0 + x + x + -1x = -4
x + x + -1x = -4

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

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

Solving
1x = -4

Solving for variable 'x'.

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

Divide each side by '1'.
x = -4

Simplifying
x = -4

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