\(d,\dfrac{5}{4}-\left(x-\dfrac{1}{8}\right)=\dfrac{1}{6}\)
\(x-\dfrac{1}{8}=\dfrac{5}{4}-\dfrac{1}{6}\)
\(x-\dfrac{1}{8}=\dfrac{15-2}{12}=\dfrac{13}{12}\)
\(x=\dfrac{13}{12}+\dfrac{1}{8}\)
\(x=\dfrac{26+3}{24}=\dfrac{29}{24}\)
\(e,\dfrac{1}{7}-\left(\dfrac{5}{21}-x\right)=\dfrac{7}{3}\)
\(\dfrac{5}{21}-x=\dfrac{1}{7}-\dfrac{7}{3}\)
\(\dfrac{5}{21}-x=\dfrac{3-49}{21}=\dfrac{-46}{21}\)
\(x=\dfrac{5}{21}-\dfrac{-46}{21}\)
\(x=\dfrac{5-\left(-46\right)}{21}=\dfrac{51}{21}=\dfrac{17}{7}\)
\(f,x-1=\dfrac{3}{4}-\dfrac{7}{2}\)
\(x-1=\dfrac{-11}{4}\)
\(x=\dfrac{-11}{4}+1\)
\(x=\dfrac{\left(-11\right)+4}{4}=\dfrac{-7}{4}\)
\(g,2x+\dfrac{1}{2}=\dfrac{5}{3}\)
\(2x=\dfrac{5}{3}-\dfrac{1}{2}\)
\(2x=\dfrac{7}{6}\)
\(x=\dfrac{7}{6}:2\)
\(x=\dfrac{7}{12}\)
\(h,\dfrac{3}{2}x+1\dfrac{1}{2}=x-\dfrac{3}{4}\)
\(\dfrac{3}{2}x+\dfrac{3}{2}=x-\dfrac{3}{4}\)
\(6x+6=4x-3\)
\(6x-4x=-3-6\)
\(\left(6-4\right)x=-3-6\)
\(2x=-9\)
\(x=-9:2\)
\(x=\dfrac{-9}{2}\)
\(i,\dfrac{1}{4}x-\dfrac{-7}{5}=\dfrac{-5}{3}\)
\(\dfrac{1}{4}x=\dfrac{-5}{3}+\dfrac{-7}{5}\)
\(\dfrac{1}{4}x=\dfrac{\left(-25\right)+\left(-21\right)}{15}=\dfrac{-46}{15}\)
\(x=\dfrac{-46}{15}:\dfrac{1}{4}\)
\(x=\dfrac{-184}{15}\)
