2//3(x-5)-1/4(x-2)=9/2
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We have, 2/3(x – 5) – 1/4(x – 2) = 9/2 Upon expansion we get, 2x/3 – 10/3 – x/4 + 2/4 = 9/2 2x/3 – 10/3 – x/4 + 1/2 = 9/2 2x/3 – x/4 = 9/2 + 10/3 – 1/2 By taking LCM for (3 and 4 is 12) (2 and 3 is 6) (2x×4)/12 – (x×3)/12 = (9×3)/6 + (10×2)/6 – (1×3)/6 8x/12 – 3x/12 = 27/6 + 20/6 – 3/6 (8x-3x)/12 = (27+20-3)6 5x/12 = 44/6 By using cross-multiplication we get, 5x×6 = 44×12 30x = 528 x = 528/30 = 264/15 = 88/5Read more on Sarthaks.com - https://www.sarthaks.com/664480/solve-the-equation-and-also-verify-your-solution-2-3-x-5-1-4-x-2-9-2
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