Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1

Answer 1

To solve the equation \( 5x - 12 - 6x = -10x + 7 - 1 \), we can follow these steps:

1. Combine like terms on both sides:

   On the left side: \[ 5x - 6x - 12 = -x - 12 \]

   On the right side: \[ -10x + 7 - 1 = -10x + 6 \]

   Now the equation looks like: \[ -x - 12 = -10x + 6 \]

2. Add \( 10x \) to both sides: \[ -x + 10x - 12 = 6 \] This simplifies to: \[ 9x - 12 = 6 \]

3. Add 12 to both sides: \[ 9x - 12 + 12 = 6 + 12 \] This simplifies to: \[ 9x = 18 \]

4. Divide by 9: \[ x = \frac{18}{9} \] This simplifies to: \[ x = 2 \]

So, the final answer is \( x = 2 \).