To solve the equation "2(x + 1/2) = 6", we can follow these steps:

Step 1: Distribute the 2 to the terms inside the parentheses.
2(x + 1/2) = 6
2x + 1 = 6

Step 2: Simplify the equation by combining like terms.
2x + 1 = 6
Subtract 1 from both sides:
2x = 6 - 1
2x = 5

Step 3: Solve for x by isolating the variable.
Divide both sides by 2:
2x/2 = 5/2
x = 5/2

Therefore, the solution to the equation "2(x + 1/2) = 6" is x = 5/2.

Explanation:

Step 1: Distribute the 2 to the terms inside the parentheses.
In the equation 2(x + 1/2) = 6, we need to distribute the 2 to both terms inside the parentheses. This can be done by multiplying 2 with x and 2 with 1/2. The result is 2x + 1.

Step 2: Simplify the equation by combining like terms.
After distributing the 2, the equation becomes 2x + 1 = 6. We can simplify this equation by combining the like terms. In this case, the like terms are the constants, which are 1 and 6.

Step 3: Solve for x by isolating the variable.
To solve for x, we need to isolate the variable on one side of the equation. In this case, we want to isolate the 2x term. We can do this by subtracting 1 from both sides of the equation. This gives us 2x = 6 - 1, which simplifies to 2x = 5.

To further solve for x, we divide both sides of the equation by 2. This gives us 2x/2 = 5/2, and simplifying further gives x = 5/2.

Therefore, the solution to the equation "2(x + 1/2) = 6" is x = 5/2.