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

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


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

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

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

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

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

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

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

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

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

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

Solving
-3 + 3x = -2 + 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.
-3 + 3x + -1x = -2 + x + -1x

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

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

Add '3' to each side of the equation.
-3 + 3 + 2x = -2 + 3

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

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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