Question

Question #45058

Answer 1

The number is `7`

Explanation:

Step 1:
Call the number x.

Step 2:
`9` less than `5` times `x` is equal to `2` times ( `x` plus `6` )

Can be translate into math by:
`5x-9=2(x+6)`

Step 3:
Solve for `x` in : `5x-9=2(x+6)`

`rarr 5x-9=2xxx+2xx6`

`rarr 5x-9=2x+12`

`rarr 5x-9color(red)(+9)=2x+12color(red)(+9)`

`rarr 5x=2x+21`

`rarr 5xcolor(red)(-2x)=2xcolor(red)(-2x)+21`

`rarr 3x=21`

`rarr (3x)/color(red)3=21/color(red)3`

`x=color(blue)7`