Solve this equation for x:

To solve the equation \( 5(2x + 3) = 7x - 3 \), we start by distributing the 5 on the left side:

\[ 5 \cdot 2x + 5 \cdot 3 = 7x - 3 \]

This simplifies to:

\[ 10x + 15 = 7x - 3 \]

Next, we want to isolate \( x \). We can do this by subtracting \( 7x \) from both sides:

\[ 10x - 7x + 15 = -3 \]

This simplifies to:

\[ 3x + 15 = -3 \]

Now, we subtract 15 from both sides:

\[ 3x = -3 - 15 \]

This simplifies to:

\[ 3x = -18 \]

Finally, we divide both sides by 3:

\[ x = \frac{-18}{3} = -6 \]

So, the solution is:

\[ \boxed{-6} \]