解:(1)

,
=

×

+

×

,
=

×(

+

),
=

×1,
=

;
(2)85.87-(5.87+2.9),
=85.87-5.87-2.9,
=80-2.9,
=77.1;
(3)2:2.5=x:5,
2.5x=2×5,
2.5x=10,
2.5x÷2.5=10÷2.5,
x=4;
(4)4.5x-

x=6,
4x=6,
4x÷4=6÷4,
x=1.5.
分析:(1)先把除法变成乘法,再运用乘法分配律简算;
(2)根据减去两个数的和,等于连续减去这两个数简算;
(3)根据比例的性质解方程;
(4)根据等式的性质解方程.
点评:本题主要考查了简便运算和解方程,要注意分析式中数据,运用合适的简便方法计算;解方程时要把等号对齐.