Question

Match the equation with the correct solution.

3x - 5 = 2x + 10 - _
6x + 4 = 10x - 8 - _
7x - 2 = 4x + 13 - _
4x - 3 = 2x + 5 - _

Word Bank:
x = 15
x = 3
x = 4
x = 5

Answer 1

Let's solve each equation one by one:

1. **3x - 5 = 2x + 10**
- Subtract 2x from both sides: \(3x - 2x - 5 = 10\)
- This simplifies to: \(x - 5 = 10\)
- Adding 5 to both sides gives: \(x = 15\)

2. **6x + 4 = 10x - 8**
- Subtract 6x from both sides: \(4 = 10x - 6x - 8\)
- This simplifies to: \(4 = 4x - 8\)
- Adding 8 to both sides gives: \(12 = 4x\)
- Dividing by 4 gives: \(x = 3\)

3. **7x - 2 = 4x + 13**
- Subtract 4x from both sides: \(7x - 4x - 2 = 13\)
- This simplifies to: \(3x - 2 = 13\)
- Adding 2 to both sides gives: \(3x = 15\)
- Dividing by 3 gives: \(x = 5\)

4. **4x - 3 = 2x + 5**
- Subtract 2x from both sides: \(4x - 2x - 3 = 5\)
- This simplifies to: \(2x - 3 = 5\)
- Adding 3 to both sides gives: \(2x = 8\)
- Dividing by 2 gives: \(x = 4\)

Now, let's match each equation with its solution:

- 3x - 5 = 2x + 10 - **x = 15**
- 6x + 4 = 10x - 8 - **x = 3**
- 7x - 2 = 4x + 13 - **x = 5**
- 4x - 3 = 2x + 5 - **x = 4**

So the final matches are:

- 3x - 5 = 2x + 10 - **x = 15**
- 6x + 4 = 10x - 8 - **x = 3**
- 7x - 2 = 4x + 13 - **x = 5**
- 4x - 3 = 2x + 5 - **x = 4**