20x−5(6x+15)=−45

Answer 1

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

1. Distribute the \(-5\) across the terms inside the parentheses: \[ 20x - 5 \cdot 6x - 5 \cdot 15 = -45 \]

   This simplifies to: \[ 20x - 30x - 75 = -45 \]

2. Combine like terms on the left side: \[ (20x - 30x) - 75 = -45 \] \[ -10x - 75 = -45 \]

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

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

Thus, the solution to the equation is \( x = -3 \).