解:
(1)1-
![](http://thumb.1010pic.com/pic5/latex/365.png)
x=
![](http://thumb.1010pic.com/pic5/latex/8.png)
,
1-
![](http://thumb.1010pic.com/pic5/latex/365.png)
x+
![](http://thumb.1010pic.com/pic5/latex/365.png)
x=
![](http://thumb.1010pic.com/pic5/latex/8.png)
+
![](http://thumb.1010pic.com/pic5/latex/365.png)
x,
![](http://thumb.1010pic.com/pic5/latex/365.png)
x+
![](http://thumb.1010pic.com/pic5/latex/8.png)
=1,
![](http://thumb.1010pic.com/pic5/latex/365.png)
x+
![](http://thumb.1010pic.com/pic5/latex/8.png)
-
![](http://thumb.1010pic.com/pic5/latex/8.png)
=1-
![](http://thumb.1010pic.com/pic5/latex/8.png)
,
![](http://thumb.1010pic.com/pic5/latex/365.png)
x=
![](http://thumb.1010pic.com/pic5/latex/168.png)
,
![](http://thumb.1010pic.com/pic5/latex/365.png)
x÷
![](http://thumb.1010pic.com/pic5/latex/365.png)
=
![](http://thumb.1010pic.com/pic5/latex/168.png)
÷
![](http://thumb.1010pic.com/pic5/latex/365.png)
,
x=
![](http://thumb.1010pic.com/pic5/latex/729.png)
;
(2)x-0.1x=1.08,
0.9x=1.08,
0.9x÷0.9=1.08÷0.9,
x=1.2;
(3)8x÷
![](http://thumb.1010pic.com/pic5/latex/8.png)
=
![](http://thumb.1010pic.com/pic5/latex/113.png)
,
8x÷
![](http://thumb.1010pic.com/pic5/latex/8.png)
×
![](http://thumb.1010pic.com/pic5/latex/8.png)
=
![](http://thumb.1010pic.com/pic5/latex/113.png)
×
![](http://thumb.1010pic.com/pic5/latex/8.png)
,
8x=
![](http://thumb.1010pic.com/pic5/latex/6234.png)
,
8x÷8=
![](http://thumb.1010pic.com/pic5/latex/6234.png)
÷8,
x=
![](http://thumb.1010pic.com/pic5/latex/35671.png)
.
分析:(1)等式的两边同时加上
![](http://thumb.1010pic.com/pic5/latex/365.png)
x,把原式改写成
![](http://thumb.1010pic.com/pic5/latex/365.png)
x+
![](http://thumb.1010pic.com/pic5/latex/8.png)
=1,然后等式的两边同时减去
![](http://thumb.1010pic.com/pic5/latex/8.png)
,再同时除以
![](http://thumb.1010pic.com/pic5/latex/365.png)
即可;
(2)先计算x-0.1x=0.9x,然后等式的两边同时除以0.9即可;
(3)等式的两边同时乘
![](http://thumb.1010pic.com/pic5/latex/8.png)
,然后等式的两边同时除以8即可.
点评:本题主要考查解方程,根据等式的性质进行解答即可.