Solve for \( x \) : \[ 4 x-5=6 x-15 \]

To solve for \( x \), start by rearranging the equation so that all terms involving \( x \) are on one side and the constant terms are on the other side: \[ 4x - 5 = 6x - 15 \] Now, subtract \( 4x \) from both sides: \[ -5 = 2x - 15 \] Next, add 15 to both sides: \[ 10 = 2x \] Finally, divide both sides by 2 to isolate \( x \): \[ x = 5 \] Thus, the solution is \( x = 5 \).