解:(1)5x-4.5×2=0.5,
5x-9=0.5,
5x-9+9=0.5+9,
5x=9.5,
5x÷5=9.5÷5,
x=1.9;
(2)
![](http://thumb.1010pic.com/pic5/latex/8.png)
:4=x:
![](http://thumb.1010pic.com/pic5/latex/602.png)
,
4x=
![](http://thumb.1010pic.com/pic5/latex/8.png)
×
![](http://thumb.1010pic.com/pic5/latex/602.png)
,
4x=
![](http://thumb.1010pic.com/pic5/latex/7880.png)
,
4x=
![](http://thumb.1010pic.com/pic5/latex/7880.png)
÷4,
x=
![](http://thumb.1010pic.com/pic5/latex/2132.png)
;
(3)
![](http://thumb.1010pic.com/pic5/latex/8.png)
:x=6,
6x=
![](http://thumb.1010pic.com/pic5/latex/8.png)
,
6x÷6=
![](http://thumb.1010pic.com/pic5/latex/8.png)
÷6,
x=
![](http://thumb.1010pic.com/pic5/latex/4721.png)
.
分析:(1)原式变为5x-9=0.5,根据等式的性质,两边同加上9,再同除以5即可;
(2)先根据比例的性质改写成4x=
![](http://thumb.1010pic.com/pic5/latex/8.png)
×
![](http://thumb.1010pic.com/pic5/latex/602.png)
,再根据等式的性质,两边同除以4即可;
(3)先根据比例的性质改写成6x=
![](http://thumb.1010pic.com/pic5/latex/8.png)
,再根据等式的性质,两边同除以6即可.
点评:此题考查了运用等式的性质解方程,即等式两边同加上或同减去、同乘上或同除以一个数(0除外),两边仍相等,同时注意“=”上下要对齐.