SOLUTION: sqrt(5x+6)-sqrt(3x-2)=2 solve for x. please show all the steps involved. thanks!

Question 6739: sqrt(5x+6)-sqrt(3x-2)=2 solve for x.
please show all the steps involved. thanks!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve:
Add to both sides.
Square both sides.
Simplify.
Subtract 3x from both sides.
Subtract 2 from both sides.
Square both sides.
Simplify.
Subtract 48x from both sides.
Add 32 to both sides.
Divide both sides by 4.
Solve by factoring.
Apply the zero product principle.
x - 2 = 0, x = 2 or
x - 6 = 0, x = 6
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