a) \(2\left(x+3\right)=4x-\left(2+x\right)\)
\(2x+6=3x-2\)
\(-x=-8\)=>x=8
b) \(\dfrac{1}{x+2}+\dfrac{5}{2-x}=\dfrac{2x-3}{x^2-4}\) đk x khác 2 và -2
\(\dfrac{\left(x-2\right)}{\left(x+2\right)\left(x-2\right)}-\dfrac{5\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}=\dfrac{2x-3}{\left(x-2\right)\left(x+2\right)}\)
=>\(x-2-5x-10=2x-3\)
\(-6x=9=>x=\dfrac{3}{2}tm\)
c) I x-9 I =2x -5
TH1 : x-9 =2x-5 (x≥9)
-x=4=>x=-4 ktm
TH2 9-x=2x-5 (x≤9)
-3x=-14
x=\(\dfrac{14}{3}\) TM
d) \(\dfrac{1-2x}{2}\)≤ 1 \(+\dfrac{x+2}{3}\)
=>\(3\left(1-2x\right)\) ≤ 6 +\(2\left(x+2\right)\)
\(3-6x\) ≤ 6 + \(2x+4\)
\(-8x\)≤7
\(x\text{≤}\dfrac{-7}{8}\)