Answer:
x = -3
Step-by-step explanation:
Given expression is,
[tex]\frac{2}{x}- \frac{4x}{2x-3}=-2[/tex]
[tex]\frac{2(2x-3)}{x(2x-3)}-\frac{4x(x)}{x(2x-3)}=-2[/tex]
[tex]\frac{2(2x-3)-4x^{2} }{x(2x-3)}=-2[/tex]
(4x - 6) - 4x² = -2x(2x - 3)
4x - 6 - 4x² = -4x² + 6x
4x - 6 = 6x
6x - 4x = -6
2x = -6
x = -3
