Question

what is the value of x? s 78 2x+50 t r 78 5x-22 u

Explanation:

Step1: Set up the equation

Since the two - segment lengths are equal (as indicated by the equal - length markings), we have $2x + 50=5x-22$.

Step2: Move the x - terms to one side

Subtract $2x$ from both sides: $2x+50 - 2x=5x - 22-2x$, which simplifies to $50 = 3x-22$.

Step3: Move the constant to the other side

Add 22 to both sides: $50 + 22=3x-22 + 22$, resulting in $72 = 3x$.

Step4: Solve for x

Divide both sides by 3: $\frac{72}{3}=\frac{3x}{3}$, so $x = 24$.

Answer:

$24$