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Đáp án:
$1) \dfrac{1}{7}-\dfrac{3}{5}.x=\dfrac{3}{5}$
$⇒ \dfrac{3}{5}.x= \dfrac{1}{7}-\dfrac{3}{5}$
$⇒ \dfrac{3}{5}.x=\dfrac{5}{35}-\dfrac{21}{35}$
$⇒ \dfrac{3}{5}.x= \dfrac{-16}{35}$
$⇒ x= \dfrac{-16}{35}:\dfrac{3}{5}$
$⇒ x= \dfrac{-16}{35}.\dfrac{5}{3}$
$⇒ x= \dfrac{-16}{21}$
Vậy x= $\dfrac{-16}{21}$
~~~~~~~~~~~~~~
$2) 1\dfrac{2}{5}.x+\dfrac{3}{7}=\dfrac{4}{5}$
$⇒ \dfrac{7}{5}.x= \dfrac{4}{5}-\dfrac{3}{7}$
$⇒ \dfrac{7}{5}.x= \dfrac{28}{35}-\dfrac{15}{35}$
$⇒\dfrac{7}{5}.x= \dfrac{13}{35}$
$⇒x= \dfrac{13}{35}:\dfrac{7}{5}$
$⇒ x= \dfrac{13}{35}.\dfrac{5}{7}$
$⇒ x= \dfrac{13}{49}$
Vậy x= $\dfrac{13}{49}$
~~~~~~~~~~~~~~~~~~~
$3) \dfrac{3}{7}-\dfrac{1}{2}.x= \dfrac{5}{3}$
$⇒ \dfrac{1}{2}.x= \dfrac{3}{7}-\dfrac{5}{3}$
$⇒ \dfrac{1}{2}.x= \dfrac{9}{21}-\dfrac{35}{21}$
$⇒ \dfrac{1}{2}.x= \dfrac{-26}{21}$
$⇒ x= \dfrac{-26}{21}.2$
$⇒ x= \dfrac{-52}{21}$
Vậy x= $\dfrac{-52}{21}$
~~~~~~~~~~~~~~~~~
$4) \dfrac{1}{2}-\dfrac{5}{6}.x=1\dfrac{1}{3}$
$⇒ \dfrac{5}{6}.x= \dfrac{1}{2}-\dfrac{4}{3}$
$⇒ \dfrac{5}{6}.x= \dfrac{3}{6}-\dfrac{8}{6}$
$⇒ \dfrac{5}{6}.x= \dfrac{-5}{6}$
$⇒x= \dfrac{-5}{6}:\dfrac{5}{6}$
$⇒ x= \dfrac{-5}{6}.\dfrac{6}{5}$
$⇒ x= -\dfrac{30}{30}$
$⇒x=-1$
Vậy x=-1
~~~~~~~~~~~~~~~~~
$5) \dfrac{2}{5}.x+\dfrac{3}{2}=\dfrac{5}{4}$
$⇒ \dfrac{2}{5}.x= \dfrac{5}{4}-\dfrac{3}{2}$
$⇒ \dfrac{2}{5}.x= \dfrac{5}{4}-\dfrac{6}{4}$
$⇒ \dfrac{2}{5}.x= \dfrac{-1}{6}$
$⇒ x= \dfrac{-1}{6}.\dfrac{5}{2}$
$⇒x= -\dfrac{5}{12}$
Vậy x= $-\dfrac{5}{12}$
~~~~~~~~~~~~~~~~~~~~
$6) (x-\dfrac{12}{7}):\dfrac{6}{5}=\dfrac{4}{7}$
$⇒x-\dfrac{12}{7}= \dfrac{4}{7}.\dfrac{6}{5}$
$⇒ x- \dfrac{12}{7}= \dfrac{24}{35}$
$⇒ x= \dfrac{24}{35}+\dfrac{12}{7}$
$⇒ x= \dfrac{24}{35}+\dfrac{60}{35}$
$⇒ x =\dfrac{84}{35}$
$⇒x= \dfrac{12}{5}$
Vậy x= $\dfrac{12}{5}$
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