SOLUTION: Solve. 2/5x – 6 = 12

Algebra ->  Equations -> SOLUTION: Solve. 2/5x – 6 = 12      Log On


   

Question 77253: Solve. 2/5x – 6 = 12
Found 2 solutions by tutorcecilia, jim_thompson5910:
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
2/5x – 6 = 12
.
(5x)(2/5x) – (5x)(6) = (5x)12 [multiply each term by the greatest common denominator (5x)and cancel wherever possible]
.
2-30x=60x
2=30x+60x
2=90x
2/90-90x/90
1/45=x
.
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]

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F5%29x+-6=12
%282%2F5%29x+=18 Add 6 to both sides
x+=%285%2F2%2918 Multiply both sides by %285%2F2%29
x+=45