SOLUTION: simplify((1)/(4x)-(4)/(x))/((3)/(2x)+(3)/(5x))please show steps

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Question 550784: simplify((1)/(4x)-(4)/(x))/((3)/(2x)+(3)/(5x))please show steps
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
=%28%281%29%2F%284x%29-%284%29%2F%28x%29%29%2F%28%283%29%2F%282x%29%2B%283%29%2F%285x%29%29
Take LCD
=%28%281-16%29%2F4x%29%2F%28%2815%2B6%29%2F10x%29
=%28-15%2F4x%29%2F%2821%2F10x%29
=%28-15%2F4x%29%2810x%2F21%29
=%28-cross%2815%29%2Fcross%284x%29%29%28cross%2810x%29%2Fcross%2821%29%29
=%28-5%2F2%29%285%2F7%29%29
=-25%2F14
=-%281%2611%2F14%29