Equation in a fraction - have I solved it right?I'm solving entrance maths example problems from a university. I solved this one: 2 x − 3 5 − 4 x + 5 3 = 8My solution was -104/14 but in the answer sheet it's -11. Am I wrong? If so why?Edit: I did the following steps:1. 3 ( 2 x − 3 ) − 5 ( 4 x + 5 ) = 82. 6 x − 9 − 20 x + 25 = 1203. − 14 x = 1044. x = − 104 / 14

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Equation in a fraction - have I solved it right?I&#039;m solving entrance maths example problems from a university. I solved this one:            2      x      −      3        5    −            4      x      +      5        3    =  8My solution was -104/14 but in the answer sheet it&#039;s -11. Am I wrong? If so why?Edit: I did the following steps:1.  3  (  2  x  −  3  )  −  5  (  4  x  +  5  )  =  82.  6  x  −  9  −  20  x  +  25  =  1203.  −  14  x  =  1044.  x  =  −  104      /    14

agyalapi60 · Accepted Answer

You forgot parentheses around the numerator of the second fraction.The calculations should look like:            2      x      −      3        5    −            4      x      +      5        3    =  8    6  x  −  9  −  (  20  x  +  25  )  =  120    6  x  −  9  −  20  x  −  25  =  120    −  14  x  −  34  =  120    −  14  x  =  154    x  =  −  11

Kenya Leonard · Accepted Answer

Look at  3  (  2  x  −  3  )  −  5  (  4  x  +  5  )  =  120    ⟺    6  x  −  9  −  20  x      −    25    =  120  −  5  (  4  x  +  5  )  =  −  20  x  −  25; you added +25 instead of subtracting 25.

Equation in a fraction - have I solved it right? I'm solving entrance maths example problems from a university. I solved this one: (2x-3)/5 - (4x+5)/3=8

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