Question

The difference of four times a number and seven is 13

Answer 1

`\begin{gathered} 4x-7=13 \\ x=5 \end{gathered}`

Step-by-step 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​

`4x-7=13`

Step 2

solve for x

`\begin{gathered} 4x-7=13 \\ \text{add 7 in both sides} \\ 4x-7+7=13+7 \\ 4x=20 \\ \text{divide both sides by 4} \\ (4x)/(4)=(20)/(4) \\ x=5 \end{gathered}`

so, the number is 5.

I hope this helps you