Respuesta :

[tex]\begin{gathered} 4x-7=13 \\ x=5 \end{gathered}[/tex]

ExplanatIon

Step 1

let x represents the number

hence,

four times a number =4*x=4x

the difference of four times a number and seven=4x-7

is can be written as equal or "="",so

the difference of four times a number and seven is 13​

[tex]4x-7=13[/tex]

Step 2

solve for x

[tex]\begin{gathered} 4x-7=13 \\ \text{add 7 in both sides} \\ 4x-7+7=13+7 \\ 4x=20 \\ \text{divide both sides by 4} \\ \frac{4x}{4}=\frac{20}{4} \\ x=5 \end{gathered}[/tex]

so, the number is 5.

I hope this helps you

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