Question

A number is multiplied by 6. If 8 is subtracted from the product you get 34. What is the number?

Answer 1

`n u m b e r` `xx 6 - 8 = 34`

`n xx 6 = 42`

`n = 7`

Answer 2

`x=7`

Explanation:

Let `x` represent this mystery number. First we multiply it by `6`, than subtract `8`, so this can be modeled by the expression `6x-8`. We know that this number is equal to `34`, so we can rewrite this relationship as an equation:
`6x-8=34` Add `8` to both sides:
`6x-8+8=34+8` Combine like terms:
`6x=42` Divide each side by `6`:
`(6x)/6=42/6` Simplify:
`x=7`