Solve 5+10sqrt{x+3}=55

$$5 + 10 \sqrt { x + 3 } = 55$$

Solve for x

$$x=22$$

Steps for Solving Radical Equations

Subtract 5 from both sides of the equation.

$$10\sqrt{x+3}+5-5=55-5$$

Subtracting 5 from itself leaves 0.

$$10\sqrt{x+3}=55-5$$

Subtract 5 from 55.

$$10\sqrt{x+3}=50$$

Divide both sides by 10.

$$\frac{10\sqrt{x+3}}{10}=\frac{50}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$\sqrt{x+3}=\frac{50}{10}$$

Divide 50 by 10.

$$\sqrt{x+3}=5$$

Square both sides of the equation.

$$x+3=25$$

Subtract 3 from both sides of the equation.

$$x+3-3=25-3$$

Subtracting 3 from itself leaves 0.

$$x=25-3$$

Subtract 3 from 25.

$$x=22$$