Answer:
Therefore [tex]x =\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{7}{8} x+\frac{3}{4} x+\frac{7}{16} x-\frac{1}{16} =\frac{5}{8}[/tex]
[tex]\Leftrightarrow \frac{7}{8} x+\frac{3}{4} x+\frac{7}{16} x =\frac{5}{8}+\frac{1}{16}[/tex]
[tex]\Leftrightarrow \frac{14x+12x+7x}{16} =\frac{10+1}{16}[/tex] [ L.C.M of 8,4,16 =16 and L.C.M of 8,16 =16]
[tex]\Leftrightarrow \frac{33x}{16} =\frac{11}{16}[/tex]
[tex]\Leftrightarrow x =\frac{11\times 16}{16\times 33}[/tex]
[tex]\Leftrightarrow x =\frac{1}{3}[/tex]
Therefore [tex]x =\frac{1}{3}[/tex]
