Please solve correctly I will mark brainliest

Angles DUT and VUD sum to VUT. We can create an equation to model this.
DUT + VUD = VUT
Now, let's plug our values into the equation.
24x + 5 + 46 = 35x - 4
Simplify the left side.
24x + 51 = 35x - 4
Subtract 24x from both sides and add 4 to both sides.
55 = 11x
Divide both sides by 11.
5 = x