To solve the equation \( 5(2x + 3) = 7x - 3 \), we'll start by expanding the left side:
\[ 5(2x) + 5(3) = 7x - 3 \] \[ 10x + 15 = 7x - 3 \]
Next, we want to isolate \( x \). To do that, we'll subtract \( 7x \) from both sides of the equation:
\[ 10x - 7x + 15 = -3 \] \[ 3x + 15 = -3 \]
Now, we'll isolate \( 3x \) by subtracting \( 15 \) from both sides:
\[ 3x = -3 - 15 \] \[ 3x = -18 \]
Finally, we divide both sides by \( 3 \):
\[ x = \frac{-18}{3} \] \[ x = -6 \]
So the solution to the equation is \( x = -6 \).
Hence, the correct answer is:
○ x = -6