Based on the information, the triangles share two sides but have one different side. one included angle is bigger than the other.
This means that the triangle with side 2x-4 must be smaller than the triangle with the side 10.
Let first, find it minimum amount. A triangle side must be greater than zero so



The triangle side must be smaller than 10.



So x must be greater than 2 but must be smaller than 7.