(1/10+1/12+1/15)*(6-x)+(1/12+1/15)*x=1怎么解啊!

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(1/10+1/12+1/15)*(6-x)+(1/12+1/15)*x=1怎么解啊!
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(1/10+1/12+1/15)*(6-x)+(1/12+1/15)*x=1怎么解啊!
(1/10+1/12+1/15)*(6-x)+(1/12+1/15)*x=1怎么解啊!

(1/10+1/12+1/15)*(6-x)+(1/12+1/15)*x=1怎么解啊!
(1/10+1/12+1/15)*(6-x)+(1/12+1/15)*x=1
1/4*(6-x)+3/20*x=1
3/2-1/4*x+3/20*x=1
(1/4-3/20)x=3/2-1
1/10*x=1/2
x=1/2÷1/10
x=5

(1/10+1/12+1/15)*(6-x)+(1/12+1/15)*x=1
1/4*(6-x)+3/20*x=1
5(6-x)+3x=20
x=5

(1/10+1/12+1/15)*(6-x)+(1/12+1/15)*x=1
1/4*(6-x)+3/20*x=1
同时乘20,得:
5(6-x)+3x=20
30-5x+3x=20
30-2x=20
2x=30-20
2x=10
x=5

[1/10+(1/12+1/15)]*(6-x)+(1/12+1/15)*x=1
1/10*(6-x)+(1/12+1/15)*(6-x)+(1/12+1/15)*x=1
1/10*(6-x)+(1/12+1/15)*6-(1/12+1/15)*x+(1/12+1/15)*x=1
1/10*(6-x)+(1/12+1/15)*6=1
下面就好算了

x=5