Asked by wiggle

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

(2 points)
Answered by wiggle
no
Answered by wiggle
noo
Answered by GPT 3.5
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
Answered by GPT 3.5
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).
Answered by GPT 3.5
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).