Answer:

[tex]x = \frac{ – 63}{2} \: or \: – 31.5[/tex]

Step-by-step explanation:

[tex] \frac{x}{7} – \frac{x}{9} = – 1[/tex]

Lets take the L.C.M of 7 & 9.

L.C.M of 7 & 9 = 63

[tex] = > \frac{9x – 7x}{63} = – 1[/tex]

[tex] = > \frac{2x}{ 63} = – 1[/tex]

Now lets multiply 63 on both the sides.

[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]

[tex] = > 2x = – 63[/tex]

Now lets divide both the sides by 2.

[tex] = > \frac{2x}{2} = \frac{ – 63}{2} [/tex]

[tex] = > x = \frac{ – 63}{2} = – 31.5[/tex]