SOLUTION: (x+7)/(2x+3) = 8/5

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Question 757756: (x+7)/(2x+3) = 8/5
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B7%29%2F%282x%2B3%29%7B%7B%7B%22%22=%22%228%2F5

Cross-multiply:

5(x + 7) = 8(2x + 3)

 5x + 35 = 16x + 24
    -11x = -11
       x = %28-11%29%2F%28-11%29
       x = 1

Check by substituting in the original equation:

%28x%2B7%29%2F%282x%2B3%29%22%22=%22%228%2F5
%28%281%29%2B7%29%2F%282%281%29%2B3%29%22%22=%22%228%2F5
%281%2B7%29%2F%282%2B3%29%22%22=%22%228%2F5
8%2F5%22%22=%22%228%2F5

It checks.  So x = 1 is the correct solution.

Edwin