Question

if t is the midpoint of $overline{su}$, find x.
$8x + 11$ $12x - 1$
t u

Explanation:

Step1: Set up the equation

Since $T$ is the mid - point of $\overline{SU}$, then $ST = TU$. So we set up the equation $8x + 11=12x - 1$.

Step2: Move the $x$ terms to one side

Subtract $8x$ from both sides: $8x+11 - 8x=12x - 1-8x$, which simplifies to $11 = 4x-1$.

Step3: Isolate the $x$ term

Add 1 to both sides: $11 + 1=4x-1 + 1$, getting $12 = 4x$.

Step4: Solve for $x$

Divide both sides by 4: $\frac{12}{4}=\frac{4x}{4}$, so $x = 3$.

Answer:

$x = 3$