You can
put this solution on YOUR website!Write an expression for each phrase
:
Let x = "a number"
:
"The reciprocal of 5 less than a number"

:
"4 times the reciprocal of twice the number."
4*

:
The word "is" means equal
"The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number."

= 4*

Same as:

=
:
Find the number.
Cross multiply the above equation:
4(x-5) = 2x
:
4x - 20 = 2x
:
4x - 2x = +20
:
2x = 20
x =

x = 10
:
:
Check solution in original equation:

= 4*

= 4*

=

; confirms our solution
:
:
Did this make sense to you? Any questions?