\(a,\)\(\dfrac{3x-7}{2}+\dfrac{x+1}{3}=-16\)
\(\Leftrightarrow\dfrac{9x-21}{6}+\dfrac{2x+2}{6}=-16\)
\(\Leftrightarrow\dfrac{11x-19}{6}=-16\)
\(\Leftrightarrow11x-19=-96\)
\(\Leftrightarrow11x=-77\Leftrightarrow x=-7\)
\(b,x-\dfrac{x+1}{3}=\dfrac{2x+1}{5}\)
\(\Leftrightarrow\dfrac{3x}{3}-\dfrac{x+1}{3}=\dfrac{2x+1}{5}\)
\(\Leftrightarrow\dfrac{2x-1}{3}=\dfrac{2x+1}{5}\)
\(\Leftrightarrow10x-5=6x+3\)
\(\Leftrightarrow4x=8\Leftrightarrow x=2\)
\(c,\dfrac{7-3x}{12}+\dfrac{3}{4}=2\left(x-2\right)+\dfrac{5\left(5-2x\right)}{6}\)
\(\Leftrightarrow\dfrac{7-3x}{12}+\dfrac{9}{12}=\dfrac{12\left(x-2\right)}{6}+\dfrac{25-10x}{6}\)
\(\Leftrightarrow\dfrac{-3x+16}{12}=\dfrac{2x+1}{6}\)
\(\Leftrightarrow-18x+96=24x+12\)
\(\Leftrightarrow-42x=-84\Leftrightarrow x=2\)
\(d,\dfrac{2x-1}{3}-\dfrac{5x+2}{7}=x+13\)
\(\Leftrightarrow\dfrac{14x-7}{21}-\dfrac{15x+6}{21}=x+13\)
\(\Leftrightarrow\dfrac{-x-13}{21}=x+13\)
\(\Leftrightarrow-x-13=21x+273\)
\(\Leftrightarrow-22x=286\Leftrightarrow x=-13\)
\(e,\dfrac{3\left(x+3\right)}{4}+\dfrac{1}{2}=\dfrac{5x+9}{3}-\dfrac{7x-9}{4}\)
\(\Leftrightarrow\dfrac{3x+9}{4}+\dfrac{2}{4}=\dfrac{20x+36}{12}-\dfrac{21x-27}{12}\)
\(\Leftrightarrow\dfrac{3x+11}{4}=\dfrac{-x+63}{12}\)
\(\Leftrightarrow\dfrac{9x+33}{12}=\dfrac{-x+63}{12}\)
\(\Leftrightarrow9x+33=-x+63\)
\(\Leftrightarrow10x=30\Leftrightarrow x=3\)
