Solve step by step

sqrt2x+10 -6=2

1 answer

To solve the equation step by step:

1. Start with the original equation: √(2x+10) - 6 = 2

2. Add 6 to both sides of the equation to isolate the square root term: √(2x+10) = 8

3. Square both sides of the equation to eliminate the square root: (√(2x+10))^2 = 8^2

4. This simplifies to 2x + 10 = 64.

5. Subtract 10 from both sides of the equation: 2x = 54.

6. Divide both sides of the equation by 2 to solve for x: x = 54/2.

7. Simplify the division to find x: x = 27.

So, the solution to the equation is x = 27.