1.

Solve the equation and also verify the solution step by step3x-5/ 2x+15=8/9​

Answer»

\frac{3x - <klux>5</klux>}{2x + 15} = \frac{8}{9} \\ \\ 9(3x - 5) = 8(2x +1 5) \\ 27x - 45 = 16x + 120 \\ 27x - 16x = 120 + 45 \\ \\CLASS="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%20-%205%7D%7B2x%20%2B%2015%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B9%7D%20%20%5C%5C%20%20%5C%5C%209%283x%20-%205%29%20%3D%208%282x%20%2B1%205%29%20%5C%5C%2027x%20-%2045%20%3D%2016x%20%2B%20120%20%5C%5C%2027x%20-%2016x%20%3D%20120%20%20%2B%2045%20%5C%5C%20%20%5C%5C%20" title="\frac{3x - 5}{2x + 15} = \frac{8}{9} \\ \\ 9(3x - 5) = 8(2x +1 5) \\ 27x - 45 = 16x + 120 \\ 27x - 16x = 120 + 45 \\ \\">

11x = 165 \\ x = \frac{165}{11} \\ x = 15

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