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Solve for 
x :

sqrt(2x+2)-18=-14
Answer:

Solve for x \mathrm{x} :\newline2x+218=14 \sqrt{2 x+2}-18=-14 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} :\newline2x+218=14 \sqrt{2 x+2}-18=-14 \newlineAnswer:
  1. Isolate square root term: First, we need to isolate the square root term on one side of the equation.\newlineAdd 1818 to both sides of the equation to move the 18-18 over to the other side.\newline2x+218+18=14+18\sqrt{2x+2} - 18 + 18 = -14 + 18\newline2x+2=4\sqrt{2x+2} = 4
  2. Square both sides: Now that we have isolated the square root, we square both sides to eliminate the square root.\newline(2x+2)2=42(\sqrt{2x+2})^2 = 4^2\newline2x+2=162x + 2 = 16
  3. Solve for x: Next, we need to solve for xx. Subtract 22 from both sides to isolate the term with xx.2x+22=1622x + 2 - 2 = 16 - 22x=142x = 14
  4. Divide to find x: Finally, divide both sides by 22 to solve for x.\newline2x2=142\frac{2x}{2} = \frac{14}{2}\newlinex=7x = 7

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