X+(x-1)+(x-2)=100

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Solution for X+(x-1)+(x-2)=100 equation:


Simplifying
X + (x + -1) + (x + -2) = 100

Reorder the terms:
X + (-1 + x) + (x + -2) = 100

Remove parenthesis around (-1 + x)
X + -1 + x + (x + -2) = 100

Reorder the terms:
X + -1 + x + (-2 + x) = 100

Remove parenthesis around (-2 + x)
X + -1 + x + -2 + x = 100

Reorder the terms:
-1 + -2 + X + x + x = 100

Combine like terms: -1 + -2 = -3
-3 + X + x + x = 100

Combine like terms: x + x = 2x
-3 + X + 2x = 100

Solving
-3 + X + 2x = 100

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 + X + 3 + 2x = 100 + 3

Reorder the terms:
-3 + 3 + X + 2x = 100 + 3

Combine like terms: -3 + 3 = 0
0 + X + 2x = 100 + 3
X + 2x = 100 + 3

Combine like terms: 100 + 3 = 103
X + 2x = 103

Add '-2x' to each side of the equation.
X + 2x + -2x = 103 + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 103 + -2x
X = 103 + -2x

Simplifying
X = 103 + -2x

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