Solve sqrt{3x+30}+7=10

$$\sqrt { 3 x + 30 } + 7 = 10$$

Solve for x

$$x=-7$$

Steps for Solving Radical Equations

Subtract 7 from both sides of the equation.

$$\sqrt{3x+30}+7-7=10-7$$

Subtracting 7 from itself leaves 0.

$$\sqrt{3x+30}=10-7$$

Subtract 7 from 10.

$$\sqrt{3x+30}=3$$

Square both sides of the equation.

$$3x+30=9$$

Subtract 30 from both sides of the equation.

$$3x+30-30=9-30$$

Subtracting 30 from itself leaves 0.

$$3x=9-30$$

Subtract 30 from 9.

$$3x=-21$$

Divide both sides by 3.

$$\frac{3x}{3}=-\frac{21}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=-\frac{21}{3}$$

Divide -21 by 3.

$$x=-7$$