Question

find x if m is a midpoint.

Explanation:

Step1: Use mid - point property

If M is the mid - point of a line segment with endpoints such that the lengths on either side of the mid - point are equal. So, we set up the equation \(x - 1=2x - 7\).

Step2: Solve the equation for x

Subtract \(x\) from both sides: \(-1=2x - x-7\), which simplifies to \(-1=x - 7\).
Then add 7 to both sides: \(x=-1 + 7\).

Answer:

\(x = 6\)