a. x + \(\dfrac{2}{5}\) = \(\dfrac{1}{2}\)
\(\Leftrightarrow\dfrac{10x}{10}+\dfrac{4}{10}=\dfrac{5}{10}\)
<=> 10x + 4 = 5
<=> 10x = 1
<=> x = \(\dfrac{1}{10}\)
b. \(x-\dfrac{2}{5}=\dfrac{1}{7}\)
\(\Leftrightarrow\dfrac{35x}{35}-\dfrac{14}{35}=\dfrac{5}{35}\)
<=> 35x - 14 = 5
<=> 35x = 19
<=> x = \(\dfrac{19}{35}\)
c. \(x.\dfrac{3}{4}=\dfrac{9}{20}\)
\(\Leftrightarrow\dfrac{15x}{20}=\dfrac{9}{20}\)
<=> 15x = 9
<=> x = \(\dfrac{9}{15}\)
d. \(x:\dfrac{1}{7}=14\)
\(\Leftrightarrow\dfrac{1}{7x}=14\)
ĐKXĐ: x\(\ne\)0
<=> 14 . 7x = 1
<=> 98x = 1
<=> x = \(\dfrac{1}{98}\)(thỏa mãn)
e. \(\dfrac{2}{3}-x=\dfrac{1}{5}\)
\(\Leftrightarrow\dfrac{10}{15}-\dfrac{15x}{15}=\dfrac{3}{15}\)
<=> 10 - 15x = 3
<=> 10 - 3 = 15x
<=> 15x = 7
<=> x = \(\dfrac{7}{15}\)
f. \(\dfrac{4}{15}:x=\dfrac{12}{25}\)
\(\Leftrightarrow\dfrac{4}{15x}=\dfrac{12}{25}\)
ĐKXĐ: x \(\ne\) 0
<=> 14 . 25 = 12 . 15x
<=> 100 = 180x
<=> x = \(\dfrac{100}{180}=\dfrac{5}{9}\)