# Solve for x minus xe to the power of(minus x) plus e to the power of(minus x) equals zero

Factor out of .

Multiply by .

Factor out of .

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set the first factor equal to .

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

The equation cannot be solved because is undefined.

Undefined

There is no solution for

No solution

No solution

Set the next factor equal to .

Subtract from both sides of the equation.

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

The final solution is all the values that make true.

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