SOLUTION: Solve the equation and check for extraneous solutions. 1.5sqrt(3x-2)-3=7

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Question 39848: Solve the equation and check for extraneous solutions.
1.5sqrt(3x-2)-3=7

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1.5sqrt(3x-2)-3=7
Add 3 to both sides to get:
1.5sqrt(3x-1)=10
Multiply both sides by 2/3 to get:
sqrt(3x-1)=20/3
Square both sides to get:
3x-1=400/9
Add 9/9 to both sides to get:
3x=409/9
Divide by 3 to get:
x=15.148148148...
Check in the original equation.
Cheers,
Stan H.