(X-2)-(X-2)=3+X

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Solution for (X-2)-(X-2)=3+X equation:


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

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

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

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

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

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

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

Solving
0 = 3 + 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.
0 + -1X = 3 + X + -1X
Remove the zero:
-1X = 3 + X + -1X

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

Divide each side by '-1'.
X = -3

Simplifying
X = -3

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