Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1 (4 points)

Answer 1

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

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

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

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

   So the equation now is: \[ -x - 12 = -10x + 6 \]

2. Add \(10x\) to both sides to get all \(x\) terms on one side: \[ -x + 10x - 12 = 6 \]

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

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

   So we have: \[ 9x = 18 \]

4. Divide by 9 to solve for \(x\): \[ x = \frac{18}{9} = 2 \]

The final solution is: \[ x = 2 \]

Thus, the steps in solving the equation were:

1. Combine like terms.
2. Add \(10x\) to both sides.
3. Add 12 to both sides.
4. Divide by 9 to solve for \(x\).

Answer 2

the options are ： -12-12=－102+6
:: 5 - 18x = -3x - 1
:: 1x - 12 = -10x + 6
:: -12 = -11x + 6
:: 9x - 12 = 6
:: -12 = -9x + 6
:: -18 = 9x
:: -6 = -9х
-18 = -9x
:: x= 0
•: X = 1
Z =x
': X =-2

Answer 3

Based on the equation you provided earlier and the options available, let's fill in the blanks step by step. The original equation is:

\[ 5x - 12 - 6x = -10x + 7 - 1 \]

On simplifying, we derived:

1. Combine like terms:
   • On the left side: \(5x - 6x - 12 = -x - 12\)
   • On the right side: \(-10x + 7 - 1 = -10x + 6\)

So we have: \[ -x - 12 = -10x + 6 \]

Now, let's follow through the correct option sequence based on simplifications.

1. Combine like terms:

   • \(-12 - 12 = -10x + 6\)

   This doesn't match any options. Let's reframe this step using the options provided.

2. Use the option assigning to combine terms:

   • Using the option: 1x - 12 = -10x + 6

Which is the combined left and right from our earlier calculation.

3. Now, isolate x:

   • We can rearrange to: \[ 1x + 10x = 6 + 12 \]
   • Which gives: \[ 11x = 18 \]
   • This combined scenario should have a representation of 9x - 12 = 6 to gain continuity.

4. Continuing from \(9x - 12 = 6\), add \(12\):

   • \(9x = 18\)

5. Divide by 9:

   • \(x = 2\)

None of the provided options directly match the calculations (as they typically start with simplifying or reorganizing parts).

Additional possible options from what was derived:

• \(9x - 12 = 6\)
• \(x = 2\)

If you're looking to fill the blanks directly, the likely option choices would align to extract through:

1. Combine \(1x - 12 = -10x + 6\)
2. Apply remains, \(-12 = -10x + 6\)
3. Gathering, subsequently realizing views across \(-12 + 12 = −10x + 6 + 12\) helps showcase if iterative expressions are consistent.

The end solution remains \(x = 2\) unless clarified for targeting specific segments within presented options.