Câu hỏi :

Tìm x, biết: \(3 - 3x - \left( {\frac{5}{4} - \frac{7}{5}} \right) = \frac{9}{{20}}\)

A. \(x = \frac{9}{{10}}\);

B. \(x = \frac{{ - 9}}{{10}}\);

C. \(x = \frac{{10}}{9}\);

D. \(x = \frac{{ - 10}}{9}\).

* Đáp án

* Hướng dẫn giải

Đáp án đúng là: A

\(3 - 3x - \left( {\frac{5}{4} - \frac{7}{5}} \right) = \frac{9}{{20}}\)

\(3 - 3x - \left( {\frac{{ - 3}}{{20}}} \right) = \frac{9}{{20}}\)

\( - 3x = \frac{9}{{20}} + \left( {\frac{{ - 3}}{{20}}} \right) - 3\)

\( - 3x = \frac{6}{{20}} - 3\)

\( - 3x = \frac{3}{{10}} - \frac{{30}}{{10}}\)

\( - 3x = \frac{{ - 27}}{{10}}\)

\(x = \frac{{ - 27}}{{10}}:\left( { - 3} \right)\)

\(x = \frac{9}{{10}}\). Vậy \(x = \frac{9}{{10}}\).

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