Question

point m is the midpoint of segment fg. find the value of x.
f m g
3x - 4 5x - 26

Explanation:

Step1: Set up the equation

Since M is the mid - point of FG, FM = MG. So, we set up the equation $3x - 4=5x - 26$.

Step2: Move the x terms to one side

Subtract $3x$ from both sides: $3x - 4-3x=5x - 26-3x$, which simplifies to $- 4 = 2x-26$.

Step3: Move the constant terms to one side

Add 26 to both sides: $-4 + 26=2x-26 + 26$, resulting in $22 = 2x$.

Step4: Solve for x

Divide both sides by 2: $\frac{22}{2}=\frac{2x}{2}$, so $x = 11$.

Answer:

$x = 11$