解:(1)0.75x+

×

=1,
0.75x+

-

=1-

,
0.75x÷0.75=

÷0.75,
x=1;
(2)20-120% x=5,
20-120% x+120%=5+120%x,
20-5=5+120%x-5,
120%x÷120%=15÷120%,
x=12.5;
(3)x+

x=36,

x=36,

x×

=36×

,
x=27;
(4)(1-

)x=60,

x=60,

x×

=60×

,
x=105.
分析:(1)先化简0.75x+

=1,再根据等式的性质,方程两边同时除以0.75,即可解答;
(2)根据等式的性质,方程两边同时加上120%x,然后再同时减去5,最后方程两边同时除以120%,即可解答;
(3)先化简

x=36,再根据等式的性质,方程两边同时乘

,即可解答;
(4)先化简

x=60再根据等式的性质,方程两边同时乘

,即可解答.
点评:本题主要考查了等式的性质,解答时要注意等号对齐.