Question 354241
{{{h(x)=x/(2x+15)}}} Start with the given equation.



{{{2=x/(2x+15)}}} Plug in {{{h(x)=2}}} (ie replace h(x) with 2).



{{{2(2x+15)=x}}} Multiply both sides by 2x+15.



{{{4x+30=x}}} Distribute.



{{{4x=x-30}}} Subtract {{{30}}} from both sides.



{{{4x-x=-30}}} Subtract {{{x}}} from both sides.



{{{3x=-30}}} Combine like terms on the left side.



{{{x=(-30)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=-10}}} Reduce.



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Answer:


So the solution is {{{x=-10}}} 



To check the answer, plug {{{x=-10}}} back into the original function. You'll find that the output will be {{{h(-10)=2}}}



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