Question 395363
{{{4/(x+1)=2/5}}} Start with the given equation.



{{{4*5=2(x+1)}}} Cross multiply



{{{20=2(x+1)}}} Multiply



{{{20=2x+2}}} Distribute.



{{{0=2x+2-20}}} Subtract {{{20}}} from both sides.



{{{-2x=2-20}}} Subtract {{{2x}}} from both sides.



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



{{{x=(-18)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}.



{{{x=9}}} Reduce.



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Answer:


So the solution is {{{x=9}}}



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