Question

When we subtract 5 from a number x and divide the answer by 7, the result is 23 less than x.Find x.

Answer 1

`x=26`

Step-by-step explanation

First, let us subtract 5 from x:

`x-5`

Next, divide by 7:

`(x-5)/(7)`

The result of that is 23 less than x. This implies that:

`(x-5)/(7)=x-23`

Solve for x by cross-multiplying:

`\begin{gathered} x-5=7(x-23) \\ x-5=7x-161 \\ -5+161=7x-x \\ \Rightarrow156=6x \\ \Rightarrow6x=156 \\ \Rightarrow x=(156)/(6) \\ x=26 \end{gathered}`

That is the number.