Question 127255
Does your equation look like {{{3/x + 7 = 11}}} ?


If it does, then...


{{{3/x + 7 = 11}}} Start with the given equation



{{{x(3/x + 7) = x(11)}}} Multiply both sides by the LCD x. This will eliminate the fractions



{{{3 + 7x = 11x}}} Distribute and multiply



{{{7x=11x-3}}}Subtract 3 from both sides



{{{7x-11x=-3}}} Subtract 11x from both sides



{{{-4x=-3}}} Combine like terms on the left side



{{{x=(-3)/(-4)}}} Divide both sides by -4 to isolate x




{{{x=3/4}}} Reduce


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Answer:

So our answer is {{{x=3/4}}}  (which is approximately {{{x=0.75}}} in decimal form)





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OR...



Does your equation look like {{{3/(x + 7) = 11}}} ?


If it does, then...




{{{3/(x + 7) = 11}}} Start with the given equation



{{{(x+7)(3/(x + 7)) = (x+7)(11)}}} Multiply both sides by the LCD {{{x+7}}}. This will eliminate the fractions



{{{3 = 11x+77}}} Distribute and multiply



{{{0=11x+77-3}}}Subtract 3 from both sides



{{{-11x=77-3}}} Subtract 11x from both sides



{{{-11x=74}}} Combine like terms on the right side



{{{x=(74)/(-11)}}} Divide both sides by -11 to isolate x




{{{x=-74/11}}} Reduce


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Answer:

So our answer is {{{x=-74/11}}}  (which is approximately {{{x=-6.72727272727273}}} in decimal form)