2020 AMC 10A Problem 1Problem 1 of 25·Easier·AlgebraArithmeticWhat value of xxx satisfies x−34=512−13?x- \frac{3}{4} = \frac{5}{12} - \frac{1}{3}?x−43=125−31?Answer choicesA−23\displaystyle -\frac{2}{3}−321B736\displaystyle \frac{7}{36}3672C712\displaystyle \frac{7}{12}1273D23\displaystyle \frac{2}{3}324E56\displaystyle \frac{5}{6}655Submit answerStuck? Show hintsShow solutionSolutionThe right side is 512−13=512−412=112\dfrac{5}{12}-\dfrac13=\dfrac{5}{12}-\dfrac4{12}=\dfrac1{12}125−31=125−124=121. Thus x=34+112=912+112=56x=\dfrac34+\dfrac1{12}=\dfrac9{12}+\dfrac1{12}=\dfrac56x=43+121=129+121=65. Thus, E is the correct answer.AoPS wikiCopy problemTagged: fraction · linear equation