Question

Make this quistion simplar answers, 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

Answers

GPT-4o mini
To solve the equation \( 2x - 5 = 3(4x + 5) \), here are the steps simplified:

**Step 1:** Distribute on the right side:
\( 3(4x + 5) \) becomes \( 12x + 15 \).
So the equation is now \( 2x - 5 = 12x + 15 \).

**Step 2:** Move all \( x \) terms to one side.
Subtract \( 2x \) from both sides:
\( -5 = 10x + 15 \).

**Step 3:** Move the constant to the other side.
Add 5 to both sides:
\( 0 = 10x + 20 \).

**Step 4:** Isolate \( x \).
Subtract 20 from both sides, then divide by 10:
\( -20 = 10x \) → \( x = -2 \).

So the four steps are:
1. Distribute.
2. Move \( x \) terms to one side.
3. Move constants to the other side.
4. Isolate \( x \).
Make it simpler
GPT-4o mini
Sure! Here’s a simpler breakdown of the steps to solve the equation \( 2x - 5 = 3(4x + 5) \):

1. **Distribute**: Change \( 3(4x + 5) \) to \( 12x + 15 \).
Now you have: \( 2x - 5 = 12x + 15 \).

2. **Move \( x \) terms**: Subtract \( 2x \) from both sides.
Now you have: \( -5 = 10x + 15 \).

3. **Move constants**: Add \( 5 \) to both sides.
Now you have: \( 0 = 10x + 20 \).

4. **Solve for \( x \)**: Subtract 20, then divide by 10.
You get: \( x = -2 \).

So, in simpler terms:
1. Distribute.
2. Subtract \( 2x \).
3. Add \( 5 \).
4. Solve for \( x \).

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