a, 4.|x-6|=28
<=> \(\left|x-6\right|=7\Leftrightarrow\left[{}\begin{matrix}x-6=7\left(x\ge6\right)\\6-x=7\left(x< 6\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=13\left(t.m\right)\\x=-1\left(t.m\right)\end{matrix}\right.\)
b, 15.|2.x-17|=225
\(\left|2x-7\right|=15\Leftrightarrow\left[{}\begin{matrix}2x-7=15\left(x\ge\frac{7}{2}\right)\\7-2x=15\left(x< \frac{7}{2}\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=11\left(t.m\right)\\x=-4\left(t.m\right)\end{matrix}\right.\)
c, |x-9|=15-(-2)+(-17)
<=> | x-9| = 0 <=> x=9
d, 72-3.x=5.x+8
<=> 8x=64 <=> x=8
e, (x+1).(x-3)=0
\(\Leftrightarrow\left[{}\begin{matrix}x+1=0\\x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=3\end{matrix}\right.\)
f, 127-5.(x+4)=42
<=> 5(x+4)=127-42=85 <=> x+4 =17 <=> x=13
g, 2.(x-5)-3.(x+7)=14
<=> 2x-10-3x-21=14 <=> -x = 14+10+21=45<=> x=-45
h, (3.x-24).75=2.76
<=>3x-24=152/75<=> 3x=1952/75<=> x=1952/225
i, 35-5.|x|=5.(24-4)
<=> \(5\left|x\right|\) = 35-100=-65 <=> \(\left|x\right|=-13\) ( vô nghiệm vì \(\left|x\right|\ge0,\) với mọi x thuộc R )