Drag and drop the correct steps to solve the equation for x.

Question

Make sure to put the steps in order. Not all steps listed will be used.

2(x−4)−2x=2x−10

(2 points)

Answer 1

1. Distribute the 2 to the terms inside the parentheses
2. Simplify the equation by combining like terms
3. Add 2x to both sides of the equation
4. Subtract 2 from both sides of the equation
5. Simplify the equation by combining like terms
6. Divide both sides of the equation by 4
7. Simplify the equation by dividing and simplify the fraction (if necessary)
8. Solve for x by simplifying the equation further, if necessary

Answer 2

no

Answer 3

Apologies for the error. Here is the correct sequence of steps to solve the equation:

1. Distribute the 2 to the terms inside the parentheses: 2x - 8 - 2x = 2x - 10
2. Simplify the equation by combining like terms: -8 = -10
3. Add 10 to both sides of the equation: -8 + 10 = -10 + 10
4. Simplify the equation by combining like terms: 2 = 0

The equation 2(x−4)−2x=2x−10 has no solution since the last step results in a false statement (2 = 0).

Answer 4

noo

Answer 5

Apologies for the confusion. Let's try another approach:

1. Distribute the 2 to the terms inside the parentheses: 2x - 8 - 2x = 2x - 10
2. Simplify the equation by combining like terms: -8 = -10
3. Since -8 does not equal -10, there is no solution.

The equation 2(x−4)−2x=2x−10 has no solution since the equation simplifies to a contradiction (-8 = -10).