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

Answer 1

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

1. Combine like terms on both sides of the equation.

   On the left side:
   \( 5x - 6x = -x \), so the left side becomes: \[ -x - 12 \]

   On the right side:
   \( 7 - 1 = 6 \), so the right side becomes: \[ -10x + 6 \]

   The equation now looks like this: \[ -x - 12 = -10x + 6 \]

2. Add \( 10x \) to both sides to get all the \( x \) terms on one side.

   \[ -x + 10x - 12 = 6 \]
   This simplifies to: \[ 9x - 12 = 6 \]

3. Add \( 12 \) to both sides to isolate the \( x \) term.

   \[ 9x - 12 + 12 = 6 + 12 \]
   This simplifies to: \[ 9x = 18 \]

4. Divide both sides by \( 9 \) to solve for \( x \).

   \[ x = \frac{18}{9} \]
   This simplifies to: \[ x = 2 \]

So, \( x = 2 \) is the solution to the equation \( 5x−12−6x=−10x+7−1 \).