Question

Drag and drop the correct steps to solve the equation for x. Make sure to put the steps in order. Not all steps listed will be used.

2(x - 4) - 2x = 2x - 10

there 4 boxes

8 = 2x - 10
- 8 = 2x - 10
2 = 2x
2x + 8 - 2x = 2x - 10
2x - 8 - 2x = 2x - 10
18 = 2x
x = 9
x = 1

Answer 1

[AI-generated answer — Bot GPT 3.5]

2x - 8 - 2x = 2x - 10

- 8 = 2x - 10
8 = 2x - 2x + 10
2 = 2x
x = 1

Answer 2

[AI-generated answer — Step-by-Step Bot]

1. 2(x - 4) - 2x = 2x - 10

2. Simplify the expression on the left side by distributing the 2: 2x - 8 - 2x = 2x - 10
3. Combine like terms on the left side: -8 = 2x - 10
4. Add 10 to both sides to isolate the variable: -8 + 10 = 2x
5. Simplify: 2 = 2x
6. Divide both sides by 2 to solve for x: 2/2 = x
7. Simplify: 1 = x

The correct order of steps to solve the equation for x is:
1, 2, 3, 4, 5, 6, 7

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation 2(x - 4) - 2x = 2x - 10 for x, follow these steps:

1. First, distribute the 2 to both terms inside the parentheses:
2(x - 4) - 2x = 2x - 10
becomes
2x - 8 - 2x = 2x - 10

2. Next, combine like terms on both sides of the equation:
The 2x and -2x terms cancel each other out, leaving:
-8 = 2x - 10

3. Now, isolate the term with x by moving the constant -10 to the other side of the equation:
Add 10 to both sides:
-8 + 10 = 2x
simplifies to
2 = 2x

4. Divide both sides by 2 to solve for x:
Divide both sides of the equation by 2:
2/2 = 2x/2
1 = x

The solution to the equation is x = 1.