Question 97939
{{{1/(x-6) + 7 = 8/(x-6)}}} Start with the given equation


{{{(x-6)(1/(x-6) + 7)= (x-6)(8/(x-6))}}} Multiply both sides by the LCD {{{x-6}}}



{{{1 + 7(x-6)= 8}}} Distribute and multiply




{{{1 + 7x-42= 8}}} Distribute and multiply again




{{{7x-41=8}}} Combine like terms on the left side



{{{7x=8+41}}}Add 41 to both sides



{{{7x=49}}} Combine like terms on the right side



{{{x=(49)/(7)}}} Divide both sides by 7 to isolate x




{{{x=7}}} Divide


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Answer:

So our answer is {{{x=7}}}