Question

How do you solve `7/15x-4=2`?

Answer 1

`x = 90/7` or about `12.857` (rounded to the nearest thousandth's place)

Explanation:

`7/15x - 4 = 2`

To solve for the variable `x`, we have to make it by itself. First, add `color(blue)4` to both sides of the equation:
`7/15x - 4 quadcolor(blue)(+quad4) = 2 quadcolor(blue)(+quad4)`

`7/15x = 6`

Now multiply both sides by `color(blue)15`:
`7/15x color(blue)(*15) = 6 color(blue)(*15)`

`7x = 90`

Now divide both sides by `color(blue)7`:
`(7x)/color(blue)7 = 90/color(blue)7`

Therefore,
`x = 90/7` or about `12.857` (rounded to the nearest thousandth's place)

Hope this helps!