SOLUTION: Please help me out! 5square root 4x-7=5square root8x+41

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Question 412305: Please help me out!
5square root 4x-7=5square root8x+41

Found 2 solutions by stanbon, mananth:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5square root 4x-7=5square root8x+41
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5*sqrt(4x-7) = 5*sqrt(8x+41)
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sqrt(4x-7) = sqrt(8x+41)
---
4x-7 = 8x+41
4x = -48
x = -12
----
Checking:
sqrt(4*-12-7) = sqrt(8*-12+41)
---
sqrt(-55) = sqrt(-55)
=======================
Cheers,
Stan H.
==============

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
5square root 4x-7=5square root8x+41
5sqrt%284x-7%29=5sqrt%288x%2B41%29
divide both sides by 5
sqrt%284x-7%29=sqrt%288x%2B41%29
take the square on both sides
%284x-7%29=%288x%2B41%29
add-8x to both sides
4x-8x-7=8x-8x+41
-4x=41+7
-4x=48
/-4
x=-12