\(2x-3=3x+5\left(x+1\right)-5\)
\(\Leftrightarrow2x-3=3x+5x+5-5\)
\(\Leftrightarrow2x-3=8x\)
\(\Leftrightarrow2x-8x=3\)
\(\Leftrightarrow-6x=3\)
\(\Leftrightarrow x=-\dfrac{3}{6}=-\dfrac{1}{2}\)
b) \(\left(2x-1\right)\left(3-2x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=0\\3-2x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=1\\2x=3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{3}{2}\end{matrix}\right.\)
a: 2x-3=3x+5(x+1)-5
=>2x-3=3x+5x+5-5
=>2x-3=8x
=>-6x=3
=>x=-1/2
b: =>2x-1=0 hoặc 3-2x=0
=>x=1/2 hoặc x=3/2