-4x=15-3(3x-5)

To solve the equation \(-4x = 15 - 3(3x - 5)\), let's start by simplifying the right side.

1. Distribute \(-3\) across \((3x - 5)\): \[ -3(3x) + 3(5) = -9x + 15 \] So we rewrite the equation: \[ -4x = 15 - 9x + 15 \]

2. Combine like terms on the right side: \[ 15 + 15 = 30 \] Now the equation is: \[ -4x = 30 - 9x \]

3. Add \(9x\) to both sides to get all \(x\) terms on one side: \[ -4x + 9x = 30 \] This simplifies to: \[ 5x = 30 \]

4. Now, divide both sides by \(5\): \[ x = \frac{30}{5} = 6 \]

So the solution is: \[ \boxed{6} \]