Solve sqrt{2-5x}+2=5

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

Solve for x

$$x = -\frac{7}{5} = -1\frac{2}{5} = -1.4$$

Steps for Solving Radical Equations

Subtract 2 from both sides of the equation.

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

Subtracting 2 from itself leaves 0.

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

Subtract 2 from 5.

$$\sqrt{-5x+2}=3$$

Square both sides of the equation.

$$-5x+2=9$$

Subtract 2 from both sides of the equation.

$$-5x+2-2=9-2$$

Subtracting 2 from itself leaves 0.

$$-5x=9-2$$

Subtract 2 from 9.

$$-5x=7$$

Divide both sides by -5.

$$\frac{-5x}{-5}=\frac{7}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x=\frac{7}{-5}$$

Divide 7 by -5.

$$x=-\frac{7}{5}$$