a)2x-9=1
=> 2x=10
=> x=5
b)-3x+5=12
=>-3x=17
=> x=-17/3
c)-7x+9=2x
=> -7x-2x=-9
=> 9x=9
=>x=1
d)(x-8)+x(x-8)=0
=> (1+x).(x-8)=0
=>__1+x=0=>x=-1
|__x-8=0=>x=8
e)\(\frac{x-9}{x-7}=\frac{x-7-2}{x-7}=1-\frac{2}{x-7}\)
để (x-9)chia hết cho(x-7) thì (x-7) phải thuộc Ư(2)
\(\Rightarrow\left(x-7\right)\in\left\{-2;-2;1;2\right\}\)
\(\Rightarrow x\in\left\{5;6;8;9\right\}\)