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
8 = 2x - 10
- 8 = 2x - 10
2 = 2x
2x + 8 - 2x = 2x - 10
2x - 8 - 2x = 2x - 10
18 = 2x
x = 9
x = 1
1. 2(x - 4) - 2x = 2x - 10
2. Distribute the 2: 2x - 8 - 2x = 2x - 10
3. Simplify and combine like terms: -8 = 2x - 10
4. Add 10 to both sides: -8 + 10 = 2x
5. Simplify: 2 = 2x
6. Divide both sides by 2: 2/2 = x
7. Simplify: 1 = x
Therefore, the correct answer is x = 1.
The correct steps to solve the equation for x, in order, are:
1. Simplify both sides of the equation: 2(x - 4) - 2x = 2x - 10
2x - 8 - 2x = 2x - 10
-8 = -10
2. Add 8 to both sides of the equation: -8 + 8 = -10 + 8
0 = -2
Since 0 is not equal to -2, this step does not give a valid solution.
3. Simplify both sides of the equation: 2(x - 4) - 2x = 2x - 10
2x + 8 - 2x = 2x - 10
8 = -10
Since 8 is not equal to -10, this step does not give a valid solution.
4. Simplify both sides of the equation: 2(x - 4) - 2x = 2x - 10
2 = 2x
This step is correct, but it does not give a specific solution for x.
5. Simplify both sides of the equation: 2(x - 4) - 2x = 2x - 10
2x + 8 - 2x = 2x - 10
8 = -10
Since 8 is not equal to -10, this step does not give a valid solution.
6. Simplify both sides of the equation: 2(x - 4) - 2x = 2x - 10
2x - 8 - 2x = 2x - 10
-8 = -10
Since -8 is not equal to -10, this step does not give a valid solution.
7. Simplify both sides of the equation: 2(x - 4) - 2x = 2x - 10
18 = 2x
This step is correct and gives a valid solution. We can proceed to the next step.
8. Solve for x: 18 = 2x
Divide both sides of the equation by 2: 18/2 = 2x/2
9 = x
This is the final step and gives the correct solution for x. Therefore, x = 9.
To solve the equation 2(x - 4) - 2x = 2x - 10, let's go through the steps in order:
Step 1: Distribute the 2 to the terms in the parentheses
2 * x = 2x
2 * -4 = -8
So, the equation becomes 2x - 8 - 2x = 2x - 10
Step 2: Combine like terms on both sides of the equation
On the left side, 2x - 2x cancels out, leaving -8.
On the right side, we have 2x - 10.
So, the equation now becomes -8 = 2x - 10.
Step 3: Bring all x terms to one side by subtracting 2x from both sides of the equation
-8 - 2x = 2x - 10 - 2x
This simplifies to -8 - 2x = -10.
Step 4: Now, let's isolate the x term by adding 8 to both sides of the equation
-8 + 8 - 2x = -10 + 8
This simplifies to -2x = -2.
Step 5: Finally, solve for x by dividing both sides of the equation by -2
-2x / -2 = -2 / -2
This simplifies to x = 1.
Therefore, the solution for the equation 2(x - 4) - 2x = 2x - 10 is x = 1.