a. \(4x-5=2\left(x-2\right)-3\\
\Leftrightarrow4x-5=2x-4-3\\
\Leftrightarrow4x-2x=-4+5-3\\
\Leftrightarrow2x=-2\\
x=-1\)
b. Bạn check lại đề nha
c . \(\left|3-2x\right|+7=3x\)
TH1 : \(\left|3-2x\right|=3-2x\) khi \(3-2x\ge0\Leftrightarrow-2x\ge3\Leftrightarrow x\le-\dfrac{3}{2}\)
TH2 : \(\left|3-2x\right|=-3+2x\) khi \(3-2x< 0\Leftrightarrow-2x< 3\Leftrightarrow x>-\dfrac{3}{2}\)
Với \(x\le-\dfrac{3}{2}\) , ta có PT
\(3-2x+7=3x\\
\Leftrightarrow-2x-3x=-7-3\\
\Leftrightarrow-5x=-10\\
\Leftrightarrow x=2\left(loại\right)\)
Với \(x>-\dfrac{3}{2}\) , ta có PT
\(-3+2x+7=3x\\
\Leftrightarrow2x-3x=3-7\\
\Leftrightarrow-x=-4\\
\Leftrightarrow x=4\left(nhận\right)\)
Vậy S = { 4 }
d. \(\left|3x-7\right|-x=0\)
TH1 : \(\left|3x-7\right|=3x-7\) khi \(3x-7\ge0\Leftrightarrow x\ge\dfrac{7}{3}\)
Th2 : \(\left|3x-7\right|=-3x+7\) khi \(3x-7< 0\Leftrightarrow x< \dfrac{7}{3}\)
Với \(x\ge\dfrac{7}{3}\) , ta có PT
\(3x-7-x=0\\
\Leftrightarrow3x-x=0+7\\
\Leftrightarrow2x=7\\\Leftrightarrow
x=\dfrac{7}{2}\left(nhận\right)\)
Với \(x< \dfrac{7}{3}\) , ta có PT
\(-3x+7-x=0\\ \Leftrightarrow-3x-x=0-7\\ \Leftrightarrow-4x=-7\\ \Leftrightarrow x=\dfrac{7}{4}\left(nhận\right)\)
Vậy S = { \(\dfrac{7}{2};\dfrac{7}{4}\) }