Eight more than four times a number is the same as two less than five times the number. What is the number?

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Answer 1 · 2016-12-10T15:33:51

The number is 10

First, let's call the number we are looking for #n#.

Eight more than four times a number can be written as:

#4n + 8#

Two less than five times the number can be written as:

#5n - 2#

Because these are the same we can write the following equation and solve for #n#:

#4n + 8 = 5n - 2#

#4n - 4n + 8 + 2 = 5n - 4n - 2 + 2#

#0 + 8 + 2 = 5n - 4n - 0#

#10 = n#