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Solve for 
x :

sqrt(6x+93)+20=29
Answer:

Solve for x \mathrm{x} :\newline6x+93+20=29 \sqrt{6 x+93}+20=29 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} :\newline6x+93+20=29 \sqrt{6 x+93}+20=29 \newlineAnswer:
  1. Isolate Square Root: Isolate the square root on one side of the equation.\newlineSubtract 2020 from both sides of the equation to isolate the square root.\newline6x+93+2020=2920\sqrt{6x+93} + 20 - 20 = 29 - 20\newline6x+93=9\sqrt{6x+93} = 9
  2. Square Both Sides: Square both sides of the equation to eliminate the square root.\newline(6x+93)2=92(\sqrt{6x+93})^2 = 9^2\newline6x+93=816x + 93 = 81
  3. Isolate Variable Term: Isolate the variable term on one side of the equation.\newlineSubtract 9393 from both sides of the equation to solve for 6x6x.\newline6x+9393=81936x + 93 - 93 = 81 - 93\newline6x=126x = -12
  4. Solve for x: Solve for x.\newlineDivide both sides of the equation by 66 to find the value of xx.\newline6x6=126\frac{6x}{6} = \frac{-12}{6}\newlinex=2x = -2

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