To find the solution to the equation √(2x) + 10 - 6 = 2, we need to isolate the variable x. Here's the step-by-step process:
1. Start by simplifying the equation. Combine like terms on the left side of the equation:
√(2x) + 4 = 2
2. Subtract 4 from both sides of the equation to isolate the square root term:
√(2x) = 2 - 4
√(2x) = -2
3. Square both sides of the equation to eliminate the square root:
(√(2x))^2 = (-2)^2
2x = 4
4. Divide both sides of the equation by 2 to solve for x:
2x/2 = 4/2
x = 2
Therefore, the solution to the equation √(2x) + 10 - 6 = 2 is x = 2.