Solve 7-sqrt{x-4}=-6

$$7- \sqrt{ x-4 } =-6$$

Solve for x

$$x=173$$

Steps for Solving Radical Equations

Subtract 7 from both sides of the equation.

$$-\sqrt{x-4}+7-7=-6-7$$

Subtracting 7 from itself leaves 0.

$$-\sqrt{x-4}=-6-7$$

Subtract 7 from -6.

$$-\sqrt{x-4}=-13$$

Divide both sides by -1.

$$\frac{-\sqrt{x-4}}{-1}=-\frac{13}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$\sqrt{x-4}=-\frac{13}{-1}$$

Divide -13 by -1.

$$\sqrt{x-4}=13$$

Square both sides of the equation.

$$x-4=169$$

Add 4 to both sides of the equation.

$$x-4-\left(-4\right)=169-\left(-4\right)$$

Subtracting -4 from itself leaves 0.

$$x=169-\left(-4\right)$$

Subtract -4 from 169.

$$x=173$$