The college student who is looking for a data plan for her cell phone found a third option, which also offers a 2 gigabyte monthly allowance for data. The monthly cost of this option can be represented by function

C

C
, defined by:
()=30+5
C
(
x
)
=
30
x
+
5
()=30+5
C
(
x
)
=
30
x
+
5
, where

x

x
is the gigabytes of data used over the monthly allowance.

Her budget is still $50 a month. To find out how many gigabytes of data she could use if she chose this plan, she writes
()=50
C
(
x
)
=
50
()=50
C
(
x
)
=
50
and solves for

x

x
.
.
What value of

x

x
makes this equation true? Show your reasoning.