Asked by nobody
Order the steps for solving the equation: 2x - 5 = 3(4x + 5)
Step 1: _________ Property to get __________
Step 2: ________ Property to get _______
Step 3: __________ Property to get ____
Step 4: _________ Property to get ____
Fill in the blanks
Part 1 (part 1)
A. Addition of Equality
B. Division of Equality
C. Combine Like Terms
D. Distributive
E. Subtraction of Equality
Part 1 (part 2)
A. 2x - 5 = 12x + 5
B. 2x = 12x + 10
C. 2x = 12x
D. 2x - 5 = 12x + 15
Part 2 (part 1)
A. Distributive
B. Combine Like Terms
C. Division of Equality
D. Addition of Equality
Part 2 (part 2)
A. 2x = 12x + 20
B. 2x = 12x + 10
C. 2x = 3x + 10
D. 2x = 3x + 20
Part 3 (part 1)
A. Subtraction of Equality
B. Combine Like Terms
C. Division of Equality
D. Distributive
Part 3 (part 2)
A. 14x = 20
B. -10x = 20
C. -1x = 10
D. -10x = 10
Part 4 (part 1)
A. Addition of Equality
B. Distributive
C. Combine Like Terms
D. Division of Equality
Part 4 (part 2)
A. x = -3/20
B. x = 1
C. x = -2
D. x = -1/10
Step 1: _________ Property to get __________
Step 2: ________ Property to get _______
Step 3: __________ Property to get ____
Step 4: _________ Property to get ____
Fill in the blanks
Part 1 (part 1)
A. Addition of Equality
B. Division of Equality
C. Combine Like Terms
D. Distributive
E. Subtraction of Equality
Part 1 (part 2)
A. 2x - 5 = 12x + 5
B. 2x = 12x + 10
C. 2x = 12x
D. 2x - 5 = 12x + 15
Part 2 (part 1)
A. Distributive
B. Combine Like Terms
C. Division of Equality
D. Addition of Equality
Part 2 (part 2)
A. 2x = 12x + 20
B. 2x = 12x + 10
C. 2x = 3x + 10
D. 2x = 3x + 20
Part 3 (part 1)
A. Subtraction of Equality
B. Combine Like Terms
C. Division of Equality
D. Distributive
Part 3 (part 2)
A. 14x = 20
B. -10x = 20
C. -1x = 10
D. -10x = 10
Part 4 (part 1)
A. Addition of Equality
B. Distributive
C. Combine Like Terms
D. Division of Equality
Part 4 (part 2)
A. x = -3/20
B. x = 1
C. x = -2
D. x = -1/10
Answers
Answered by
nobody
are you sure this is correct
Answered by
GPT-4o mini
To solve the equation \(2x - 5 = 3(4x + 5)\), we can follow these steps:
### Step-by-step Breakdown:
**Step 1:** Apply the **Distributive** Property to get **2x - 5 = 12x + 15**.
- (Part 1: D, Part 2: A)
**Step 2:** Apply the **Addition of Equality** property to get **2x - 12x = 15 + 5**.
- (Part 1: A, Part 2: B)
**Step 3:** Apply the **Combine Like Terms** property to get **-10x = 20**.
- (Part 3: B, Part 3: A)
**Step 4:** Apply the **Division of Equality** property to get **x = -2**.
- (Part 4: D, Part 4: C)
Here’s the full fill-in of the blanks based on the sequential reasoning:
### Final Answer:
**Step 1:** D. Distributive Property to get A. \(2x - 5 = 12x + 15\)
**Step 2:** A. Addition of Equality Property to get B. \(2x - 12x = 15 + 5\)
**Step 3:** B. Combine Like Terms Property to get A. \(-10x = 20\)
**Step 4:** D. Division of Equality Property to get C. \(x = -2\)
### Step-by-step Breakdown:
**Step 1:** Apply the **Distributive** Property to get **2x - 5 = 12x + 15**.
- (Part 1: D, Part 2: A)
**Step 2:** Apply the **Addition of Equality** property to get **2x - 12x = 15 + 5**.
- (Part 1: A, Part 2: B)
**Step 3:** Apply the **Combine Like Terms** property to get **-10x = 20**.
- (Part 3: B, Part 3: A)
**Step 4:** Apply the **Division of Equality** property to get **x = -2**.
- (Part 4: D, Part 4: C)
Here’s the full fill-in of the blanks based on the sequential reasoning:
### Final Answer:
**Step 1:** D. Distributive Property to get A. \(2x - 5 = 12x + 15\)
**Step 2:** A. Addition of Equality Property to get B. \(2x - 12x = 15 + 5\)
**Step 3:** B. Combine Like Terms Property to get A. \(-10x = 20\)
**Step 4:** D. Division of Equality Property to get C. \(x = -2\)
Answered by
GPT-4o mini
I apologize for any mistakes in my previous response. Let's carefully solve the equation step by step to ensure the correctness of the approach.
We start with the equation:
\[ 2x - 5 = 3(4x + 5) \]
### Step 1: Apply the Distributive Property
We distribute the 3 on the right side:
\[ 2x - 5 = 12x + 15 \]
- (Part 1: D, Part 2: A)
### Step 2: Move like terms together
Now we can rearrange to collect like terms. We'll subtract \(12x\) from both sides:
\[ 2x - 12x - 5 = 15 \]
This simplifies to:
\[ -10x - 5 = 15 \]
- However, to focus on what's needed, we can express it directly:
\[ 2x - 12x = 15 + 5 \]
- (Part 1: A, Part 2: B)
### Step 3: Combine Like Terms
Combining like terms gives us:
\[ -10x = 20 \]
- (Part 3: B, Part 3: A)
### Step 4: Divide to solve for \(x\)
Now we divide both sides by -10:
\[ x = -2 \]
- (Part 4: D, Part 4: C)
### Final Fill-in-the-Blanks:
1. **Step 1:** D. Distributive Property to get A. \(2x - 5 = 12x + 15\)
2. **Step 2:** A. Addition of Equality Property to get B. \(2x - 12x = 15 + 5\)
3. **Step 3:** B. Combine Like Terms Property to get A. \(-10x = 20\)
4. **Step 4:** D. Division of Equality Property to get C. \(x = -2\)
Thank you for your patience, and I apologize for the confusion in my initial response.
We start with the equation:
\[ 2x - 5 = 3(4x + 5) \]
### Step 1: Apply the Distributive Property
We distribute the 3 on the right side:
\[ 2x - 5 = 12x + 15 \]
- (Part 1: D, Part 2: A)
### Step 2: Move like terms together
Now we can rearrange to collect like terms. We'll subtract \(12x\) from both sides:
\[ 2x - 12x - 5 = 15 \]
This simplifies to:
\[ -10x - 5 = 15 \]
- However, to focus on what's needed, we can express it directly:
\[ 2x - 12x = 15 + 5 \]
- (Part 1: A, Part 2: B)
### Step 3: Combine Like Terms
Combining like terms gives us:
\[ -10x = 20 \]
- (Part 3: B, Part 3: A)
### Step 4: Divide to solve for \(x\)
Now we divide both sides by -10:
\[ x = -2 \]
- (Part 4: D, Part 4: C)
### Final Fill-in-the-Blanks:
1. **Step 1:** D. Distributive Property to get A. \(2x - 5 = 12x + 15\)
2. **Step 2:** A. Addition of Equality Property to get B. \(2x - 12x = 15 + 5\)
3. **Step 3:** B. Combine Like Terms Property to get A. \(-10x = 20\)
4. **Step 4:** D. Division of Equality Property to get C. \(x = -2\)
Thank you for your patience, and I apologize for the confusion in my initial response.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.