解方程 8x+42=82x65%x-35%x=6.558%x+23%x=1.62.
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解:(1)8x+42=82,
????? 8x+42-42=82-42,
??????????? 8x=40,
???????? 8x÷8=40÷8,
?????????????x=5;
(2)x,
??????????? 14-30%=1.7x,
????????????? 13.7=1.7x,
???????? 13.7÷1.7=1.7x÷1.7,
???????????????? x=8;
(3)65%x-35%x=6.5,
??????????30%x=6.5;
???? 30%x÷30%=6.5÷30%,
???????????? x=21;
(4)58%x+23%x=1.62,
????????? 81%x=1.62,
???? 81%x÷81%=1.62÷81%,
???????????? x=2.
解析分析:(1)依据等式的性质,方程两边同时减42,再同时除以8求解,(2)先化简方程,再依据等式的性质,方程两边同时除以1.7求解,(3)先化简方程,再依据等式的性质,方程两边同时除以30%即可求解,(4)先化简方程,再依据等式的性质,方程两边同时除以81%求解.
点评:等式的性质是解方程的依据,解方程时注意对齐等号.