What value of x satisfies x- (3)/(4) = (5)/(12) - (1)/(3)?

2020 AMC 10A Problem 1 — Solution & Video

2020 AMC 10A Problem 1

Attempt Problem 1 of the 2020 AMC 10A below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2020 AMC 10A solutions, or check the answer key.

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What value of $x$ satisfies $x- \frac{3}{4} = \frac{5}{12} - \frac{1}{3}?$

$\displaystyle -\frac{2}{3}$

$\displaystyle \frac{7}{36}$

$\displaystyle \frac{7}{12}$

$\displaystyle \frac{2}{3}$

$\displaystyle \frac{5}{6}$

Answer: E

Concepts:fraction linear equation

Difficulty rating: 560

Video solution:

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Written solution:

The right side is $\dfrac{5}{12}-\dfrac13=\dfrac{5}{12}-\dfrac4{12}=\dfrac1{12}$ . Thus $x=\dfrac34+\dfrac1{12}=\dfrac9{12}+\dfrac1{12}=\dfrac56$ . Thus, E is the correct answer.

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