d: \(\frac27-\left(\frac23+2x\right)=\frac57\)

=>\(2x+\frac23=\frac27-\frac57=-\frac37\)

=>\(2x=-\frac37-\frac23=-\frac{9}{21}-\frac{14}{21}=-\frac{23}{21}\)

=>\(x=-\frac{23}{21}:2=-\frac{23}{42}\)

e: \(\frac12-2x=\left(-\frac12\right)^3\)

=>\(\frac12-2x=-\frac18\)

=>\(2x=\frac12+\frac18=\frac58\)

=>\(x=\frac58:2=\frac{5}{16}\)

f: \(\left(2x-3\right)\left(\frac34x+1\right)=0\)

=>\(\left[\begin{array}{l}2x-3=0\\ \frac34x+1=0\end{array}\right.\Rightarrow\left[\begin{array}{l}2x=3\\ \frac34x=-1\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac32\\ x=-\frac43\end{array}\right.\)

g: \(\frac{7}{12}-\left(x+\frac76\right):\frac65=-\frac54\)

=>\(\left(x+\frac76\right):\frac65=\frac{7}{12}+\frac54=\frac{7}{12}+\frac{15}{12}=\frac{22}{12}=\frac{11}{6}\)

=>\(x+\frac76=\frac{11}{6}\cdot\frac65=\frac{11}{5}\)

=>\(x=\frac{11}{5}-\frac76=\frac{66}{30}-\frac{35}{30}=\frac{31}{30}\)

h: \(\frac34:\left(x+\frac12\right)-\frac56=-\frac14\)

=>\(\frac34:\left(x+\frac12\right)=-\frac14+\frac56=-\frac{3}{12}+\frac{10}{12}=\frac{7}{12}\)

=>\(x+\frac12=\frac34:\frac{7}{12}=\frac34\cdot\frac{12}{7}=\frac{36}{28}=\frac97\)

=>\(x=\frac97-\frac12=\frac{18}{14}-\frac{7}{14}=\frac{11}{14}\)

i: \(\frac25x+\frac35x=\frac34\)

=>\(x\left(\frac25+\frac35\right)=\frac34\)

=>\(x\cdot\frac55=\frac34\)

=>\(x=\frac34\)

k: \(\frac12x+\frac23x-x=\frac13\)

=>\(x\left(\frac12+\frac23-1\right)=\frac13\)

=>\(x\left(\frac12-\frac13\right)=\frac13\)

=>\(x\cdot\frac16=\frac13\)

=>\(x=\frac13:\frac16=2\)

l: \(\left(\frac32-\frac{2}{-5}\right):x-\frac12=\frac32\)

=>\(\left(\frac32+\frac25\right):x=\frac32+\frac12=2\)

=>\(\left(\frac{15}{10}+\frac{4}{10}\right):x=2\)

=>\(\frac{19}{10}:x=2\)

=>\(x=\frac{19}{10}:2=\frac{19}{20}\)

m: \(\left(5x-1\right)\left(2x-\frac13\right)=0\)

=>\(\left[\begin{array}{l}5x-1=0\\ 2x-\frac13=0\end{array}\right.\Rightarrow\left[\begin{array}{l}5x=1\\ 2x=\frac13\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac15\\ x=\frac16\end{array}\right.\)

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