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similar to what u have asked
not sure about the answer
Answer:
x = 4, 12/5
Step-by-step explanation:
Given: (1/x - 3) + (2/x - 2) = (8/x)
LCM = x,(x - 3),(x - 2).
⇒ x(x - 2) + 2x(x - 3) = 8(x - 3)(x - 2)
⇒ x² - 2x + 2x² - 6x = 8[x² - 2x - 3x + 6]
⇒ 3x² - 8x = 8[x² - 5x + 6]
⇒ 3x² - 8x = 8x² - 40x + 48
⇒ 8x² - 32x + 48 = 3x²
⇒ 5x² - 32x + 48 = 0
⇒ 5x² - 12x - 20x + 48 = 0
⇒ x(5x - 12) - 4(5x - 12) = 0
⇒ (x - 4)(5x - 12) = 0
⇒ x = 4, x = 12/5.
Hope it helps!