1-(x-2)-(x-3)-(x-1)=0

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Solution for 1-(x-2)-(x-3)-(x-1)=0 equation:


Simplifying
1 + -1(x + -2) + -1(x + -3) + -1(x + -1) = 0

Reorder the terms:
1 + -1(-2 + x) + -1(x + -3) + -1(x + -1) = 0
1 + (-2 * -1 + x * -1) + -1(x + -3) + -1(x + -1) = 0
1 + (2 + -1x) + -1(x + -3) + -1(x + -1) = 0

Reorder the terms:
1 + 2 + -1x + -1(-3 + x) + -1(x + -1) = 0
1 + 2 + -1x + (-3 * -1 + x * -1) + -1(x + -1) = 0
1 + 2 + -1x + (3 + -1x) + -1(x + -1) = 0

Reorder the terms:
1 + 2 + -1x + 3 + -1x + -1(-1 + x) = 0
1 + 2 + -1x + 3 + -1x + (-1 * -1 + x * -1) = 0
1 + 2 + -1x + 3 + -1x + (1 + -1x) = 0

Reorder the terms:
1 + 2 + 3 + 1 + -1x + -1x + -1x = 0

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

Combine like terms: 3 + 3 = 6
6 + 1 + -1x + -1x + -1x = 0

Combine like terms: 6 + 1 = 7
7 + -1x + -1x + -1x = 0

Combine like terms: -1x + -1x = -2x
7 + -2x + -1x = 0

Combine like terms: -2x + -1x = -3x
7 + -3x = 0

Solving
7 + -3x = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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