Question

5 less than twice a number is equal to one half the difference of three times the number and 13. Find the number.

Answer 1

The number will be
`-3.`

Explanation:

Let us assume the number as
`x`.

Given:

⇒
`5` less than twice a number that will be
`2x - 5`, which is equal to half the difference of three times the number and 13

We have to find the number.

Solution:

The difference of three times the number and 13 could be represented as :
`3x - 13`

The value be equal to
`(1)/(2)` of this
`3x - 13` ⇒
`(1)/(2) ( 3x - 13 )`

As we can see here,

• That we got a equation ⇒
  `2x - 5 = (1)/(2) ( 3x - 13 )`

Now, we can solve the above equation:

`2x - 5 = (1)/(2) ( 3x - 13 )`

We have multiply both sides by
`2` ⇒
`4x - 10 = 3x - 13`

then, ⇒
`x - 10 = -13`

⇒
`x = -3`

Hence we can say that number which was assumed as
`x` will be
`-3.`