Question

Find x: x-2x+2-16/2x=3-7/2x

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Answer 1

Answer:

x – 2x + 2 – 16/3x + 5 = 3 – 7/2x Let us rearrange the equation x – 2x – 16x/3 + 7x/2 = 3 – 2 – 5 By taking LCM for 2 and 3 which is 6 (6x – 12x – 32x + 21x)/6 = -4 -17x/6 = -4 By cross-multiplying -17x = -4×6 -17x = -24 x = -24/-17 x = 24/17 Let us verify the given equation now, x – 2x + 2 – 16/3x + 5 = 3 – 7/2x By substituting the value of ‘x’ we get, 24/17 – 2(24/17) + 2 – (16/3)(24/17) + 5 = 3 – (7/2)(24/17) 24/17 – 48/17 + 2 – 384/51 + 5 = 3 – 168/34 By taking 51 and 34 as the LCM we get, (72 – 144 + 102 – 384 + 255)/51 = (102 – 168)/34 -99/51 = -66/34 -33/17 = -33/17 Hence, the given equation is verified.Read more on Sarthaks.com - https://www.sarthaks.com/664534/solve-the-equationand-also-check-your-results-x-2x-2-16-3x-5-3-7-2x