SOLUTION: Can this be solved? x/2 + 6x = 7(2x-8)

Algebra ->  Expressions -> SOLUTION: Can this be solved? x/2 + 6x = 7(2x-8)       Log On


   

Question 199480: Can this be solved? x/2 + 6x = 7(2x-8)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Can this be solved? x/2 + 6x = 7(2x-8)
x%2F2 + 6x = 7(2x - 8)
Multiply equation by 2, to get rid of he denominator
x + 12x = 14(2x - 8)
:
13x = 28x - 112
:
13x - 28x = - 112
:
-15x = -112
x = %28-112%29%2F%28-15%29
x ~ +7.4667
:
:
Check solution in original equation
7.4667%2F2 + 6(7.4667) = 7(2(7.4667) - 8)
7.4667%2F2 + 6(7.4667) = 7(2(7.4667) - 8)
3.7333 + 44.8002 = 7(14.9334 - 8)
48.5335 = 7(6.9334)
48.5335 ~ 48.5338,