To solve the equation \(2x + 5 = 6x + 11\), follow these steps:
Start by getting all terms involving \(x\) on one side and constant terms on the other side. You can do this by subtracting \(2x\) from both sides:
\[ 5 = 6x - 2x + 11 \]
This simplifies to:
\[ 5 = 4x + 11 \]
Next, isolate the term with \(x\) by subtracting \(11\) from both sides:
\[ 5 - 11 = 4x \]
This simplifies to:
\[ -6 = 4x \]
Finally, divide both sides by \(4\) to solve for \(x\):
\[ x = \frac{-6}{4} = \frac{-3}{2} \]
So, the solution is:
\[ x = -\frac{3}{2} \]