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Quiz 5
1.) Solve $x-2=3$.
Solution: Add $2$ to both sides to get $x=5$.

2.) Solve $2x-2=4$.
Solution: Add $2$ to both sides to get $$2x=6.$$ Now multiply both sides by $\dfrac{1}{2}$ to get $$x=\dfrac{6}{2}=3.$$

3.) Solve $3x+7=14$.
Solution: Add $(-7)$ to both sides to get $$3x=7.$$ Multiply by $\dfrac{1}{3}$ to get $$x=\dfrac{7}{3}.$$

4.) Solve $2x+3=1+x$.
Solution: Add $-x$ to both sides to get $$x+3=1.$$ Add $(-3)$ from both sides to get $$x=1+(-3)=-2.$$

5.) Solve $\dfrac{1}{2}x + \dfrac{1}{3}=\dfrac{4}{9}$.
Solution: Add $-\dfrac{1}{3}$ to both sides to get $$\dfrac{1}{2}x = \dfrac{4}{9} - \dfrac{1}{3} = \dfrac{4}{9} - \dfrac{3}{9} = \dfrac{1}{9}.$$ Now multiply both sides by $2$ to get $$x = \dfrac{2}{9}.$$