Answer:
[tex]\boxed {x = -1}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]\frac{1}{x} - 7 = -8x[/tex]
-Multiply both sides by [tex]x[/tex]:
[tex]\frac{1}{x} - 7 = -8x[/tex]
[tex]1 + x (-7) = -8x[/tex]
-Add both sides by [tex]-8x[/tex]:
[tex]1 + x (-7) + 8x = -8x + 8x[/tex]
[tex]1 + x(-7) + 8x = 0[/tex]
-Combine both [tex]x (-7)[/tex] and [tex]8x[/tex]:
[tex]1 + x(-7) + 8x = 0[/tex]
[tex]1 + x = 0[/tex]
-Subtract 1 to both sides:
[tex]1 - 1 = x = 0 - 1[/tex]
[tex]\boxed {x = -1}[/tex]
So, the value of [tex]x[/tex] is [tex]-1[/tex].
