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Solve for 
x :

sqrt(3x+19)+16=18
Answer:

Solve for x \mathrm{x} :\newline3x+19+16=18 \sqrt{3 x+19}+16=18 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} :\newline3x+19+16=18 \sqrt{3 x+19}+16=18 \newlineAnswer:
  1. Isolate square root: Isolate the square root on one side of the equation by subtracting 1616 from both sides.\newline3x+19+1616=1816\sqrt{3x + 19} + 16 - 16 = 18 - 16\newline3x+19=2\sqrt{3x + 19} = 2
  2. Square both sides: Square both sides of the equation to eliminate the square root.\newline(3x+19)2=22(\sqrt{3x + 19})^2 = 2^2\newline3x+19=43x + 19 = 4
  3. Subtract to isolate: Subtract 1919 from both sides to isolate the term with the variable xx.\newline3x+1919=4193x + 19 - 19 = 4 - 19\newline3x=153x = -15
  4. Divide to solve: Divide both sides by 33 to solve for xx.3x3=153\frac{3x}{3} = \frac{-15}{3}x=5x = -5

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