Question 201635
You have the correct equation (and the solver has an altered form of your equation), so let's take it from there...




{{{(x+7)/(2x-1+7)=3/4 }}} Start with the given equation.



{{{(x+7)/(2x+6)=3/4 }}} Combine like terms.



{{{4(x+7)=3(2x+6)}}} Cross multiply



{{{4x+28=6x+18}}} Distribute.



{{{4x=6x+18-28}}} Subtract {{{28}}} from both sides.



{{{4x-6x=18-28}}} Subtract {{{6x}}} from both sides.



{{{-2x=18-28}}} Combine like terms on the left side.



{{{-2x=-10}}} Combine like terms on the right side.



{{{x=(-10)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}.



{{{x=5}}} Reduce.



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Answer:


So the solution is {{{x=5}}} 


This means that the fraction {{{x/(2x-1)}}} becomes {{{5/(2*5-1)=5/9}}}



So the original fraction was {{{5/9}}}



Take note that {{{(5+7)/(9+7)=12/16=3/4}}} which verifies our answer.