Respuesta :

Answer: Number is 9

Explanation:
Let x be “a number”
Three times a number: 3x
The difference of three times a number and 5: 3x -5

Putting it all together:
3x - 5 = 22

Add 5 to both sides:
3x = 27

Divide both sides by 3:
x = 9

Answer:

x = 9

Step-by-step explanation:

First, we write the word problem into an equation:

[tex]3x - 5 = 22[/tex]

By adding 5 on both sides, the expression turns into:

[tex]3x - 5 + 5 = 22 + 5[/tex]

[tex]3x  = 27[/tex]

In order to find the value of x, we divide by 3 on both sides:

[tex]\frac{3x}{3} = \frac{27}{3}[/tex]

Then, [tex]x = 9[/tex]