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.M
L.C.M for 2,4 and 8=8
multiply through by the L.C.M
thus
[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]
