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katovenus [111]
3 years ago
9

LITTERLY HELP ME PLEASEE..... 2/x-4x/2x-3=-2 PLEASEE I INSERTED A PIC

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer:

x = -3

Step-by-step explanation:

Given expression is,

\frac{2}{x}- \frac{4x}{2x-3}=-2

\frac{2(2x-3)}{x(2x-3)}-\frac{4x(x)}{x(2x-3)}=-2

\frac{2(2x-3)-4x^{2} }{x(2x-3)}=-2

(4x - 6) - 4x² = -2x(2x - 3)

4x - 6 - 4x² = -4x² + 6x

4x - 6 = 6x

6x - 4x = -6

2x = -6

x = -3

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