[tex]\it a)\ \dfrac{8}{3x-2}=\dfrac{12}{9} \Rightarrow 3x-2= \dfrac{8\cdot9}{12} \Rightarrow 3x-2=\dfrac{72}{12} \Rightarrow 3x-2=6|_{+2} \Rightarrow\\ \\ \\ 3x=8|_{:3} \Rightarrow x=\dfrac{8}{3}\\ \\ \\ b)\ \dfrac{\dfrac{x}{2}}{6}=\dfrac{1}{3} \Rightarrow \dfrac{x}{2\cdot6}=\dfrac{^{4)}1}{\ 3} \Rightarrow \dfrac{x}{12}=\dfrac{4}{12} \Rightarrow x=4[/tex]
c)
[tex]\bf \dfrac{7-x}{3}=\dfrac{2x}{10} \Rightarrow 10\cdot(7-x)=3\cdot2x \Rightarrow 70-10x=6x \Rightarrow 70=6x+10x \Rightarrow \\ \\ \\ \Rightarrow 16x=70 \Rightarrow x=\dfrac{\ 70^{(2}}{16}= \dfrac{35}{8}[/tex]
