If the triangle below is equilateral and side AB = 6x - 9 and side BC = 2x - 5, find x.

Given:
There is an equilateral triangle given with side AB=6x-9 and BC=2x-5
Required:
We need to find the value of x
Explanation:
As we know that, all sides of equilateral triangle are equal
so
[tex]AB=BC[/tex]now substitute the values of AB and BC from given statement
[tex]\begin{gathered} 6x-9=2x-5 \\ 6x-2x=9-5 \\ 4x=4 \\ x=1 \end{gathered}[/tex]Final answer:
x=1