\(\dfrac{4x-7}{5x+3}=\dfrac{-2}{3}\)
\(\Rightarrow3\left(4x-7\right)=-2\left(5x+3\right)\)
\(\Rightarrow12x-21=-10x-6\)
\(\Rightarrow12x+10x=21-6\)
\(\Rightarrow22x=15\)
\(\Rightarrow x=\dfrac{15}{22}\)
\(\dfrac{4x-7}{5x+3}=\dfrac{-2}{3}\)
\(\Rightarrow3\left(4x-7\right)=-2\left(5x+3\right)\)
\(\Rightarrow12x-21=-10x-6\)
\(\Rightarrow12x-21+6=-10x\)
\(\Rightarrow12x+15=-10x\)
\(\Rightarrow-10x-12x=15\)
\(\Rightarrow-22x=15\)
\(\Rightarrow x=\dfrac{15}{-22}\)