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Solve for 
x :

sqrt(6x-47)-3=-2
Answer:

Solve for x \mathrm{x} :\newline6x473=2 \sqrt{6 x-47}-3=-2 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} :\newline6x473=2 \sqrt{6 x-47}-3=-2 \newlineAnswer:
  1. Isolate square root: First, isolate the square root on one side of the equation by adding 33 to both sides.\newline6x473+3=2+3\sqrt{6x - 47} - 3 + 3 = -2 + 3\newline6x47=1\sqrt{6x - 47} = 1
  2. Square both sides: Next, square both sides of the equation to eliminate the square root.\newline(6x47)2=12(\sqrt{6x - 47})^2 = 1^2\newline6x47=16x - 47 = 1
  3. Add 4747: Now, add 4747 to both sides of the equation to solve for 6x6x.\newline6x47+47=1+476x - 47 + 47 = 1 + 47\newline6x=486x = 48
  4. Divide by 66: Finally, divide both sides by 66 to solve for x.\newline6x6=486\frac{6x}{6} = \frac{48}{6}\newlinex=8x = 8

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