To solve the equation \( 5x - 5(x + 3) = 2x - 1 \), we can start by simplifying both sides.
Distribute \( -5 \) in the left-hand side: \[ 5x - 5x - 15 = 2x - 1 \]
This simplifies to: \[ -15 = 2x - 1 \]
Next, we can add \( 1 \) to both sides to isolate the term with \( x \): \[ -15 + 1 = 2x \] \[ -14 = 2x \]
Now, divide both sides by \( 2 \): \[ x = -7 \]
So the solution to the equation is \( x = -7 \).