To solve the equation \( 5(2x + 3) = 10x + 14 \), we will first distribute the \( 5 \) on the left-hand side:
\[ 5 \cdot 2x + 5 \cdot 3 = 10x + 14 \]
This simplifies to:
\[ 10x + 15 = 10x + 14 \]
Next, we can subtract \( 10x \) from both sides of the equation:
\[ 10x + 15 - 10x = 10x + 14 - 10x \]
This simplifies to:
\[ 15 = 14 \]
Since \( 15 \neq 14 \), this indicates that there is no solution to the equation. Thus, the equation is inconsistent.
The solution is:
\[ \text{No solution} \]