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

Ethen Blackwell 2022-07-23 Answered
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 = 8
My 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 ) = 8
2. 6 x 9 20 x + 25 = 120
3. 14 x = 104
4. x = 104 / 14
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Answers (2)

agyalapi60
Answered 2022-07-24 Author has 17 answers
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

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Kenya Leonard
Answered 2022-07-25 Author has 6 answers
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.

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