Solve for rational equations

Answer:
x= 8
Step-by-step explanation:
drag 7/8 to the other side of equality
now,
-1/x=3/4-7/8
now taking lcm to the right side of equation
-1/x= 6-7/8
-1/x=-1/8
multipky by -1 on both sides of equation
1/x=1/8
now take reciprocal
x=8
Answer:
x=8
Step-by-step explanation:
[tex] \frac{7}{8} - \frac{1}{x} = \frac{3}{4} [/tex]
[tex]8x( \frac{7}{8} - \frac{1}{x} ) = 8x( \frac{3}{4} )[/tex]
[tex]7x - 8 = 6x[/tex]
[tex]7x - 6x = 8[/tex]
[tex]x = 8[/tex]