Solve 5-sqrt{x-7}=2

$$5 - \sqrt { x - 7 } = 2$$

Solve for x

$$x=16$$

Steps for Solving Radical Equations

Subtract 5 from both sides of the equation.

$$-\sqrt{x-7}+5-5=2-5$$

Subtracting 5 from itself leaves 0.

$$-\sqrt{x-7}=2-5$$

Subtract 5 from 2.

$$-\sqrt{x-7}=-3$$

Divide both sides by -1.

$$\frac{-\sqrt{x-7}}{-1}=-\frac{3}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$\sqrt{x-7}=-\frac{3}{-1}$$

Divide -3 by -1.

$$\sqrt{x-7}=3$$

Square both sides of the equation.

$$x-7=9$$

Add 7 to both sides of the equation.

$$x-7-\left(-7\right)=9-\left(-7\right)$$

Subtracting -7 from itself leaves 0.

$$x=9-\left(-7\right)$$

Subtract -7 from 9.

$$x=16$$