Question

If Q is the midpoint of PR, find x when PR=2x and PQ=2x-12.

Answer 1

Answer: x=12

Explanation:

You start with:
`2x\\eq 2x-12`

The segment PQ is half of PR, so to make both sides equal the PQ side must be doubled.

`2x=4x-24`

Then all x-values should be put on one side of the equation.

`2x-4x=-24`

Combine like terms.

`-2x=-24`

Then simplify.
`x=12`