To solve the equation \( 7x + 3 = 5x + 11 \), follow these steps:
- First, subtract \( 5x \) from both sides to get all the \( x \) terms on one side:
\[ 7x - 5x + 3 = 11 \]
This simplifies to:
\[ 2x + 3 = 11 \]
- Next, subtract \( 3 \) from both sides to isolate the term with \( x \):
\[ 2x = 11 - 3 \]
This simplifies to:
\[ 2x = 8 \]
- Finally, divide both sides by \( 2 \) to solve for \( x \):
\[ x = \frac{8}{2} = 4 \]
Thus, the solution is:
\[ \boxed{4} \]