解方程. 50%x+30%x=8x-40%x=904x+3×0.7=6.5.
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解:(1)50%x+30%x=8,
????? (50%+30%)x=8,
????????????? 0.8x=8,
?????????0.8x÷0.8=8÷0.8,
???????????????? x=10;
(2)x-40%x=90,
?(1-40%)x=90,
?????? 0.6x=90,
??0.6x÷0.6=90÷0.6,
????????? x=150;
(3)4x+3×0.7=6.5,
??????? 4x+2.1=6.5,
??? 4x+2.1-2.1=6.5-2.1,
????????????4x=4.4,
???????? 4x÷4=4.4÷4,
???????????? x=1.1.
解析分析:(1)原式变为(50%+30%)x=8,即0.8x=8,根据等式的性质,两边同除以0.8即可;(2)(1-40%)x=90,即0.6x=90,根据等式的性质,两边同除以0.6即可;(3)原式变为4x+2.1=6.5,根据等式的性质,两边同减去2.1,再同除以4即可.
点评:在解方程时应根据等式的性质,即等式两边同加上、同减去、同乘上或同除以某一个数(0除外),等式的两边仍相等,同时注意“=”上下要对齐.