Introductory Algebra for College Students (7th Edition)

$x=\{-3,\frac{5}{3}\}$
"Three times a number is increased by 2" is written as $3x+2$. The equation can be written as: $(3x+2)^2=49$ Take the square root of each side. $\sqrt{(3x+2)^2}=\sqrt{49}$ Simplify. $3x+2=\pm7$ Subtract 2 from each side. $3x+2-2=\pm7-2$ Simplify $3x=7-2$ or $3x=-7-2$ $3x=5$ or $3x=-9$ Divide each side by 3. $3x\div3=5\div3$ or $3x\div3=-9\div3$ $x=\frac{5}{3}$ or $x=-3$ State as a solution set. $x=\{-3,\frac{5}{3}\}$