Question 77253
2/5x – 6 = 12 
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(5x)(2/5x) – (5x)(6) = (5x)12  [multiply each term by the greatest common denominator (5x)and cancel wherever possible]
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2-30x=60x 
2=30x+60x
2=90x
2/90-90x/90
1/45=x
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Check by plugging x=1/45 back into the original equation and solve:
2/5(x) – 6 = 12
2/5(1/45 – 6 = 12

2/(1/9) – 6} = 12

18-6=12
12=12 [checks out]