Question

Order the steps for solving the equation: 2x−5=3(4x+5) (8 points) 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
Awnsers step one awnsers: Division of Equality
Distributive
Combine Like Terms
Subtraction of Equality
Addition of Equality

awnsers: step 2: Addition of Equality
Combine Like Terms
Division of Equality
Distributive


step 3
Distributive
Subtraction of Equality
Combine Like Terms
Division of Equality

step 4
Distributive
Division of Equality
Combine Like Terms
Addition of Equality

Answer 1

To solve the equation \( 2x - 5 = 3(4x + 5) \), the steps can be ordered as follows:

1. **Step 1**: **Distributive** - First, distribute the \(3\) on the right side of the equation:
\[ 2x - 5 = 12x + 15 \]

2. **Step 2**: **Subtraction of Equality** - Next, subtract \(12x\) from both sides:
\[ 2x - 12x - 5 = 15 \]
This simplifies to:
\[ -10x - 5 = 15 \]

3. **Step 3**: **Addition of Equality** - Then, add \(5\) to both sides:
\[ -10x = 20 \]

4. **Step 4**: **Division of Equality** - Finally, divide both sides by \(-10\):
\[ x = -2 \]

So, the correct order of the steps for solving the equation is:

- Step 1: **Distributive**
- Step 2: **Subtraction of Equality**
- Step 3: **Addition of Equality**
- Step 4: **Division of Equality**