Solve for x |x|=x

Math
Remove the absolute value term. This creates a on the right side of the equation because .
Set up the positive portion of the solution.
Solve the first equation for .
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Move all terms containing to the left side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Since , the equation will always be true.
All real numbers
All real numbers
Set up the negative portion of the solution.
Solve the second equation for .
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Move all terms containing to the left side of the equation.
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Add to both sides of the equation.
Add and .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Divide by .
The solution to the equation includes both the positive and negative portions of the solution.
Verify each of the solutions by substituting them into and solving.
Solve for x |x|=x

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