Respuesta :

ANSWER

[tex]x=26[/tex]

EXPLANATION

First, let us subtract 5 from x:

[tex]x-5[/tex]

Next, divide by 7:

[tex]\frac{x-5}{7}[/tex]

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

[tex]\frac{x-5}{7}=x-23[/tex]

Solve for x by cross-multiplying:

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

That is the number.