a: =>2x-5=3x+15
=>-x=20
hay x=-20(nhận)
b: \(\Leftrightarrow\dfrac{2x^2-12}{2x}=\dfrac{2x^2}{2x}+\dfrac{3x}{2x}\)
=>3x=-12
hay x=-4(nhận)
c: \(\Leftrightarrow\left(x+2\right)\left(x-3\right)=0\)
=>x=-2(nhận) hoặc x=3(loại)
d: \(\Leftrightarrow\left(3x+2\right)\left(2x-1\right)-5=0\)
\(\Leftrightarrow6x^2-3x+4x-2-5=0\)
\(\Leftrightarrow6x^2+7x-6x-7=0\)
\(\Rightarrow\left(6x+7\right)\left(x-1\right)=0\)
hay \(x\in\left\{-\dfrac{7}{6};1\right\}\)