Question

\(\frac{2}{3}x-\frac{3}{2}\left(x-\frac{1}{2}\right)=\frac{5}{12}\)

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Answer 1

\(\frac{2}{3}x-\frac{3}{2}\left(x-\frac{1}{2}\right)=\frac{5}{12}\)

\(\Rightarrow\frac{2}{3}x-\frac{3}{2}x+\frac{3}{4}=\frac{5}{12}\)

\(\Rightarrow\frac{-5}{6}x=\frac{5}{12}-\frac{3}{4}=\frac{-1}{3}\)

\(\Rightarrow x=\frac{-1}{3}:\frac{-5}{6}=\frac{2}{5}\)

vậy x = \(\frac{2}{5}\)

Answer 2

= 2/3x - 3/2x - 3/2 × 1/2= 5/12

=> -5/6x - 3/4 = 5/12

=> -5/6x = 5/12 +3/4= 7/6

=>x=7/6 ÷ -5/6 =1/3

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Answer 3

2/3x-3/2(x-1/2)=5/12

2/3x-3/2x+3/4=5/12

2/3x-3/2x=5/12-3/4

-5/6x=-1/3

x=2/5