Ask a New Question
Menu

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

5x−12−6x=−10x+7−1

Step 1: Combine like terms Response area,

Step 2: Get x-terms on same side of equation Response area

Step 3: Get constants on same side of equation Response area

Step 4: Get the x by itself by using the inverse operation

Answer Choice: #: 5-18x =- 3x-1

:: 9x-12=6

:: -18 =- 9x

#-1x-12 =- 10x+6

# -12 =- 11x+6

#-6 =- 9x

# 1x-12 =- 10x+6

#-12 =- 9x+6

# x=0

# :- 18= 9x

# X=1

#x=2

# X =- 2

3 answers

Let's fill in the blanks step by step to solve the equation:

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

Step 1: Combine like terms

On the left side: \[ 5x - 6x = -1x \] So now we have: \[ -1x - 12 = -10x + 6 \]

Response area: \[ -1x - 12 = -10x + 6 \]

Step 2: Get x-terms on the same side of the equation

Let's add \(10x\) to both sides: \[ -1x + 10x - 12 = 6 \] Which simplifies to: \[ 9x - 12 = 6 \]

Response area: \[ 9x - 12 = 6 \]

Step 3: Get constants on the same side of the equation

Now, add \(12\) to both sides: \[ 9x - 12 + 12 = 6 + 12 \] Which simplifies to: \[ 9x = 18 \]

Response area: \[ 9x = 18 \]

Step 4: Get the x by itself by using the inverse operation

Now, divide both sides by \(9\): \[ x = \frac{18}{9} \] Which simplifies to: \[ x = 2 \]

Response area: \[ x = 2 \]

Summary of filled responses:

  1. Step 1: Response area: \(-1x - 12 = -10x + 6\)
  2. Step 2: Response area: \(9x - 12 = 6\)
  3. Step 3: Response area: \(9x = 18\)
  4. Step 4: Response area: \(x = 2\)

So the answer to the original equation is \(x = 2\).

there is no 9x = 18

I apologize for any confusion in my previous response. Let's go through the solution more carefully. We'll start again from the original equation and properly outline each step, including only the relevant operations.

Given the equation:
\[ 5x - 12 - 6x = -10x + 7 - 1 \]

Step 1: Combine like terms

On the left side:
\[ 5x - 6x = -1x \]
On the right side:
\[ 7 - 1 = 6 \]

So we simplify to:
\[ -1x - 12 = -10x + 6 \]

Response area for Step 1:
\[ -1x - 12 = -10x + 6 \]

Step 2: Get x-terms on the same side of the equation

Add \(10x\) to both sides:
\[ -1x + 10x - 12 = 6 \]
This simplifies to:
\[ 9x - 12 = 6 \]

Response area for Step 2:
\[ 9x - 12 = 6 \]

Step 3: Get constants on the same side of the equation

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

Response area for Step 3:
\[ 9x = 18 \]

Step 4: Get the x by itself by using the inverse operation

Divide both sides by \(9\):
\[ x = \frac{18}{9} \]
Which simplifies to:
\[ x = 2 \]

Response area for Step 4:
\[ x = 2 \]

So the summarized responses for each step should choose the correct entries. The final answer is that \(x = 2\).

If the numbered answer choices are still needed, please provide them again, and I'll ensure they align correctly. Thank you for your understanding!