Add to both sides of the equation.

Add and .

Take the 7th root of both sides of the equation to eliminate the exponent on the left side.

Rewrite as .

Rewrite as .

Rewrite as .

Pull terms out from under the radical.

Rewrite as .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for x x^7-5=-8