To solve the equation \(4x - 5 = 6x - 15\), we can start by isolating \(x\).
- First, let's move the terms involving \(x\) to one side and the constant terms to the other side. We can do this by subtracting \(4x\) from both sides:
\[ -5 = 6x - 4x - 15 \]
This simplifies to:
\[ -5 = 2x - 15 \]
- Next, we will add 15 to both sides to isolate the term with \(x\):
\[ -5 + 15 = 2x \]
This simplifies to:
\[ 10 = 2x \]
- Now, divide both sides by 2 to solve for \(x\):
\[ x = \frac{10}{2} = 5 \]
Thus, the solution to the equation \(4x - 5 = 6x - 15\) is
\[ \boxed{5}. \]