Question 1131537
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{{{5/(x-1)+7/(x+7)=6/(x-1)}}}<br>
Note that the denominators of two of the three fractions are the same.  So gather them together on one side of the equation.<br>
{{{7/(x+7) = 1/(x-1)}}}<br>
"cross-multiply" -- i.e., multiply both sides of the equation by both denominators:<br>
{{{7(x-1) = x+7)}}}
{{{7x-7 = x+7}}}
{{{6x = 14}}}
{{{x =14/6 = 7/3}}}