Question

Twice a number subtracted from 30 is the same as three times that num added to 15. How do you find the number?

Answer 1

Translate these conditions and call the number `X`

Explanation:

Twice the number: `2X`
subtracted from 30: `30-2X`
This is the left part of the equation

Three times that number `3X`
added to 15: `3X+15`
This is the right part of the equation

So:
`30-2X=3X+15`
we now add `2X` on both sides, and subtract `15`

`30-15-cancel(2X)+cancel(2X)=3x+2x+cancel15-cancel15->`

`15=5X->X=15/5=3`

Check:
`30-2xx3=3xx3+15->24=24` Check!