Question 404252
{{{1/4=(32x-1)/(x+2)}}} Start with the given equation.



{{{1(x+2)=4(32x-1)}}} Cross multiply



{{{x+2=128x-4}}} Distribute.



{{{x=128x-4-2}}} Subtract {{{2}}} from both sides.



{{{x-128x=-4-2}}} Subtract {{{128x}}} from both sides.



{{{-127x=-4-2}}} Combine like terms on the left side.



{{{-127x=-6}}} Combine like terms on the right side.



{{{x=(-6)/(-127)}}} Divide both sides by {{{-127}}} to isolate {{{x}}}.



{{{x=6/127}}} Reduce.



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Answer:


So the answer is {{{x=6/127}}} which approximates to {{{x=0.047}}}. 



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