Solve sqrt{(17-3x)}+10=15

$$\sqrt { ( 17 - 3 x ) } + 10 = 15$$

Solve for x

$$x = -\frac{8}{3} = -2\frac{2}{3} \approx -2.666666667$$

Steps for Solving Radical Equations

Subtract 10 from both sides of the equation.

$$\sqrt{-3x+17}+10-10=15-10$$

Subtracting 10 from itself leaves 0.

$$\sqrt{-3x+17}=15-10$$

Subtract 10 from 15.

$$\sqrt{-3x+17}=5$$

Square both sides of the equation.

$$-3x+17=25$$

Subtract 17 from both sides of the equation.

$$-3x+17-17=25-17$$

Subtracting 17 from itself leaves 0.

$$-3x=25-17$$

Subtract 17 from 25.

$$-3x=8$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{8}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{8}{-3}$$

Divide 8 by -3.

$$x=-\frac{8}{3}$$