Julio says," If you subtract 14 from my number and multiply the difference by -7, the result is -119." What is Julios's number?

Julio's number is 31

Step-by-step explanation:

Let's assume Julio's number is x

If we subtract 14 from x, we'd have

x - 14

We multiply the difference by -7, we'll have

-7(x - 14) = -7x + 98

Note that multiply 2 negative signs gives a positive sign, that is,

- x - = +

-7 x -14 = 98

When we multiply the difference by -7, the result is -119

-7x + 98 = -119

To collect like terms, we subtract 98 from both sides of the equation

-7x + 98 - 98 = -119 - 98

-7x = -217

We then divide both sides by -7, that is the coefficient of x

-7x/-7 = -217/-7

x = 31.

Therefore, Julio's number is 31