The value of x = -5/2
To solve this question we must understand the concept of indices.
What are Indices?
Indices in mathematics show the power to which an expression or variable is raised.
Here, the correct format of the equation given in the question as follows:
[tex]\mathbf{2 \sqrt[3]{3x +2}} \mathbf{= \sqrt[3]{4x -9} }[/tex]
[tex]2(3x+2)^{1/3} = (4x -9)^{1/3} \\ \\ (6x + 4)^{1/3} =(4x -9)^{1/3}[/tex]
Multiply the power of both sides by 3
(6x + 4) =(4x -9)
6x - 4x = -9 + 4
2x = -5
x = -5/2
Learn more about indices here:
https://brainly.com/question/10339517
