Question

Half of a number x is equal to 9 less than 2 times that same number. What is the
number

Answer 1

`x = 6`

Explanation:

Analyzing the statement one after the other:

Half a number x:
`(1)/(2)x`

Equals to:
`=`

9 less than twice that same number:
`2x - 9`

Bring them together, we have:

`(1)/(2)x = 2x-9`

Collect Like Terms

`(1)/(2)x - 2x= -9`

`(x)/(2) - 2x= -9`

`(x - 4x)/(2) = -9`

`( - 3x)/(2) = -9`

Multiply through by 2

`2 * ( - 3x)/(2) = -9 * 2`

`- 3x = -18`

Divide through by -3

`x = 6`