3x/4-(x-1)/2=(x-2)/3
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3x/4 – (x-1)/2 = (x-2)/3 Let us rearrange the equation 3x/4 – (x-1)/2 – (x-2)/3 = 0 By taking LCM for 4, 2 and 3 which is 12 (9x – (x-1)6 – (x-2)4)/12 = 0 (9x – 6x + 6 – 4x + 8)/12 = 0 (-x + 14)/12 = 0 By cross-multiplying -x + 14 = 0 x = 14 Let us verify the given equation now, 3x/4 – (x-1)/2 = (x-2)/3 By substituting the value of ‘x’ we get, 3(14)/4 – (14-1)/2 = (14-2)/3 42/4 – 13/2 = 12/3 (42 – 26)/4 = 4 16/4 = 4 4 = 4 Hence, the given equation is verified.Read more on Sarthaks.com - https://www.sarthaks.com/664655/solve-the-equationand-also-check-your-results-3x-4-x-1-2-x-2-3
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