Question

Eight times a number is the same as 30 less than 5 times the number. Find the number?

Answer 1

the number = -10

Explanation:

1. to find the number, make it x. then, make an equation with it.

8x = 5x - 30

2. then, you just solve the equation

- subtract 5x from both sides

3x = -30

- divide by 3

x = -10

hopefully that makes sense! :)

Answer 2

x = -10

Explanation:

We just have to translate the problem correctly

>8 times a number is the same

this tells me that

`8x = ...`

>as 30 less than 5 times the number.

`... = 5x - 30`

Now set them equal to eachother

`8x = 5x - 30`

Now isolate the variable x

`8x - 5x = 5x - 5x - 30\\3x = -30\\x = (-30)/(3) = -10`