To solve the equation \( 2x + 5 = 11 \) for \( x \), we will follow these steps:
-
Isolate the term containing \( x \): We need to get \( 2x \) by itself on one side of the equation. To do this, we can subtract \( 5 \) from both sides of the equation.
\[ 2x + 5 - 5 = 11 - 5 \]
Simplifying both sides gives us:
\[ 2x = 6 \]
-
Solve for \( x \): Now that we have \( 2x = 6 \), we want to solve for \( x \). To do this, we can divide both sides of the equation by \( 2 \).
\[ \frac{2x}{2} = \frac{6}{2} \]
Simplifying this results in:
\[ x = 3 \]
-
Check the solution: It's always a good practice to substitute the value of \( x \) back into the original equation to verify our solution.
Substituting \( x = 3 \) into the original equation \( 2x + 5 \):
\[ 2(3) + 5 = 6 + 5 = 11 \]
Since both sides are equal, our solution \( x = 3 \) is confirmed to be correct.
Therefore, the solution to the equation \( 2x + 5 = 11 \) is
\[ \boxed{3} \]