Answer: x=12
Step-by-step explanation:
We know that in the line segment XZ, the line segments XY and YZ make up XZ.
Because we know that, we can put XZ equal to XY and YZ combined to find x, since they are the same distance.
3x+5+10=5x-9 will be the new equation since 3x+5 and 10 are both one side.
From here we can combine like terms to get 3x+15=5x-9. Now we have a simpler equation.
We can subtract 3x on both sides, 3x-3x=0 and 5x-3x=2x. Our equation is now 15=2x-9.
Now we add 9 on both sides, 15+9=24 and 9-9=0. Our equation is now 24=2x.
Finally we divide 2 on both sides,
=12 and
=x. Our equation is now 12=x.
Therefore x=12 and 12 is the answer.
Hope that helped a lot. Let me know any further questions.
:)