解方程.
(1)7x+4-46????
(2)9x-15=57
(3)96+12x=144????
(4)3.2x-9.8=9.4
(5)x+4.6×3=16.9????
(6)7×5-5x=33.5
(7)x-0.64=36????
(8)4(2x一0.8x)=16.8
(9)3.6x+2.4x-3.6=0.
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解:(1)7x+4=46,
????? 7x+4-4=46-4,
?????? 7x÷7=42÷7,
?????????? x=6;
????
(2)9x-15=57,
? 9x-15+15=57+15,
???? 9x÷9=72÷9,
???????? x=8;
(3)96+12x=144,
? 96+12x-96=144-96,
??? 12x÷12=48÷12,
????????? x=4;
????
(4)3.2x-9.8=9.4,
?3.2x-9.8+9.8=9.4+9.8,
??? 3.2x÷3.2=19.2÷3.2,
??????????? x=6;
(5)x+4.6×3=16.9,
?????? x+13.8=16.9.
? x+13.8-13.8=16.9-13.8,
??????????? x=3.1;
????
(6)7×5-5x=33.5,
??? 35-5x+5x=33.5+5x,
???? 35-33.5=33.5+5x-33.5,
????? 1.5÷5=5x÷5,
?????????? x=0.3;
(7)x-0.64=36,
x-0.64+0.64=36+0.64,
????????? x=36.64;
????
(8)4(2x-0.8x)=16.8,
?????????????4.8x=16.8,
??????? 4.8x÷4.8=16.8÷4.8,
??????????????? x=3.5;
(9)3.6x+2.4x-3.6=0,
??????????? 6x-3.6=0+3.6,
???????????? 6x÷6=3.6÷6,
?????????????????x=0.6.
解析分析:(1)依据等式的性质,方程两边同时减4,再同时除以7求解,
(2)依据等式的性质,方程两边同时加15,再同时除以9求解,
(3)依据等式的性质,方程两边同时减96,再同时除以12求解,
(4)依据等式的性质,方程两边同时加9.8,再同时除以3.2求解,
(5)先化简方程,再依据等式的性质,方程两边同时减13.8求解,
(6)先化简方程,再依据等式的性质,方程两边同时加5x,再同时减33.5,最后同时除以5求解,
(7)依据等式的性质,方程两边同时加0.64求解,
(8)先化简方程,再依据等式的性质,方程两边同时除以4.8求解,
(9)先化简方程,再依据等式的性质,分成两边同时加3.6,最后同时除以6求解.
点评:(1)方程能化简先化简,(2)等号要对齐,是解方程要注意的地方.