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. 2x + 8 - 2x = 2x - 10
3. 8 = 2x - 10
4. - 8 = 2x - 10
5. 2 = 2x
6. 2x - 8 - 2x = 2x - 10
7. 18 = 2x
8. x = 9
1. Distribute the 2 on the left side: 2(x-4) - 2x = 2x-10
- 2x + 8 - 2x = 2x - 10
2. Combine like terms on the left side: -4x + 8 = 2x - 10
3. Move all terms with x to one side of the equation by subtracting 2x from both sides: -4x + 8 - 2x = -10
4. Simplify the equation: -6x + 8 = -10
5. Move the constant term to the other side of the equation by subtracting 8 from both sides: -6x = -18
6. Solve for x by dividing both sides by -6: x = -18 / -6
7. Simplify the expression: x = 3
To solve the equation 2(x - 4) - 2x = 2x - 10, you can follow these steps:
Step 1: Distribute the 2 to the terms inside the parentheses on the left side:
2 * x = 2x
2 * -4 = -8
This simplifies the equation to: 2x - 8 - 2x = 2x - 10.
Step 2: Combine like terms on both sides of the equation:
-8 - 2x = 2x - 10.
On the left side: -8 - 2x.
On the right side: 2x - 10.
Step 3: Add 2x to both sides of the equation to eliminate the variable from the right side:
-8 - 2x + 2x = 2x - 10 + 2x.
Simplifying the equation further: -8 = 4x - 10.
Step 4: Add 10 to both sides of the equation:
-8 + 10 = 4x - 10 + 10.
Simplifying the equation further: 2 = 4x.
Step 5: Divide both sides of the equation by 4 to isolate the variable:
2/4 = 4x/4.
Simplifying the equation further: 1/2 = x.
Therefore, the solution to the equation is x = 1/2.