Answer:
x=8
Step-by-step explanation:
If the triangle is isosceles, it means that 2 of its sides are equal in length, therefore its perimeter is equal to
[tex](2x - 3) + (2x - 3) + (x)[/tex]
Adding similar terms, and recalling that the perimeter is equal to 34, we get
[tex]5x - 6 = 34 \\ 5x = 40 \\ x = 8[/tex]