The value of x in the equation is 35,054.
Given equation:
682.84−107.48=50x−125.72
Step 1: Simplify the left side of the equation
682.84−107.48=575.36
Now the equation looks like this:
575.36=50x−125.72
Step 2: Isolate the fraction by adding 125.72 to both sides
575.36+125.72=50x
$$701.08 = \frac{x}{50}$
Step 3: Multiply both sides by $50$ to find $x$
$x = 701.08 \times 50$
$x = \mathbf{35,054}$