20x−5(6x+15)=−45.

Answer 1

To solve the equation \( 20x - 5(6x + 15) = -45 \), follow these steps:

1. Distribute \( -5 \) across \( (6x + 15) \): \[ 20x - 5 \cdot 6x - 5 \cdot 15 = -45 \] This simplifies to: \[ 20x - 30x - 75 = -45 \]

2. Combine like terms: \[ (20x - 30x) - 75 = -45 \] This simplifies to: \[ -10x - 75 = -45 \]

3. Add \( 75 \) to both sides: \[ -10x - 75 + 75 = -45 + 75 \] This simplifies to: \[ -10x = 30 \]

4. Divide by \( -10 \): \[ x = \frac{30}{-10} \] This gives: \[ x = -3 \]

Thus, the solution to the equation \( 20x - 5(6x + 15) = -45 \) is \( x = -3 \).