a:
\(\dfrac{5}{8}+\dfrac{3}{8}x=1\dfrac{1}{8}\)
\(\Leftrightarrow x\cdot\dfrac{3}{8}=\dfrac{9}{8}-\dfrac{5}{8}=\dfrac{4}{8}\)
=>\(x\cdot3=4\)
=>x=4/3
b: \(\dfrac{1}{2}-\left(\dfrac{1}{3}x-2\right)=\dfrac{2}{3}\)
=>\(\dfrac{1}{3}x-2=\dfrac{1}{2}-\dfrac{2}{3}=\dfrac{3-4}{6}=-\dfrac{1}{6}\)
=>\(x\cdot\dfrac{1}{3}=2-\dfrac{1}{6}=\dfrac{11}{6}\)
=>\(x=\dfrac{11}{2}\)
c: \(-4+4x=9x-14\)
=>\(-5x=-10\)
=>x=2
d: \(-\dfrac{3}{2}-2x+\dfrac{3}{4}=-2\)
=>\(-2x-\dfrac{3}{4}=-2\)
=>\(2x+\dfrac{3}{4}=2\)
=>\(2x=\dfrac{5}{4}\)
=>\(x=\dfrac{5}{8}\)
e: (3x+4)(2x+3)=0
=>\(\left[{}\begin{matrix}3x+4=0\\2x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{4}{3}\\x=-\dfrac{3}{2}\end{matrix}\right.\)