Answer:[tex]x = \frac{49}{6} [/tex]Step-by-step explanation:given[tex] \frac{3x}{4} - \frac{7}{2} = \frac{21}{8} [/tex]find the L.C.ML.C.M for 2,4 and 8=8multiply through by the L.C.Mthus[tex]8 \times \frac{3x}{4} - 8 \times \frac{7}{2} = 8 \times \frac{21}{8} [/tex]then cancel out the ones which are divisible to get[tex]2(3x) - 4(7) = 21[/tex][tex]6x - 28 = 21[/tex]making x the subject[tex]6x = 21 + 28[/tex][tex]6x = 49[/tex]dividing through by 6 to get x[tex] \frac{6x}{6} = \frac{49}{6} [/tex][tex]x = \frac{49}{6} [/tex]