Solve 2*sqrt{5x-3}=53

$$2 \times \sqrt { 5 x - 3 } = 53$$

Solve for x

$$x = \frac{2821}{20} = 141\frac{1}{20} = 141.05$$

Steps for Solving Radical Equations

Divide both sides by 2.

$$\frac{2\sqrt{5x-3}}{2}=\frac{53}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$\sqrt{5x-3}=\frac{53}{2}$$

Square both sides of the equation.

$$5x-3=\frac{2809}{4}$$

Add 3 to both sides of the equation.

$$5x-3-\left(-3\right)=\frac{2809}{4}-\left(-3\right)$$

Subtracting -3 from itself leaves 0.

$$5x=\frac{2809}{4}-\left(-3\right)$$

Subtract -3 from \frac{2809}{4}.

$$5x=\frac{2821}{4}$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{\frac{2821}{4}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{\frac{2821}{4}}{5}$$

Divide \frac{2821}{4} by 5.

$$x=\frac{2821}{20}$$