Question

1. find x if m is a midpoint.

a 3x - 1 m x + 7 b

Explanation:

Step1: Set up equation

Since M is the mid - point, $AM = MB$. So, $3x−1=x + 7$.

Step2: Isolate x terms

Subtract x from both sides: $3x−x−1=x−x + 7$, which simplifies to $2x−1=7$.

Step3: Solve for x

Add 1 to both sides: $2x−1 + 1=7 + 1$, getting $2x=8$. Then divide both sides by 2: $\frac{2x}{2}=\frac{8}{2}$, so $x = 4$.

Answer:

$x = 4$