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
only use the terms given.
1. 2(x - 4) - 2x = 2x - 10
2. Distribute the 2 on the left side: 2x - 8 - 2x = 2x - 10
3. Combine like terms on the left side: - 8 = 2x - 10
4. Add 10 to both sides: - 8 + 10 = 2x - 10 + 10
5. Simplify: 2 = 2x
6. Divide both sides by 2: 2/2 = 2x/2
7. Solve for x: 1 = x
The correct order of steps to solve the equation for x is:
1. 2(x - 4) - 2x = 2x - 10
2. Distribute the 2 on the left side: 2x - 8 - 2x = 2x - 10
3. Combine like terms on the left side: - 8 = 2x - 10
4. Add 10 to both sides: - 8 + 10 = 2x - 10 + 10
5. Simplify: 2 = 2x
6. Divide both sides by 2: 2/2 = 2x/2
7. Solve for x: 1 = x
- 8 + 10 = 2x - 10 + 10 isn't a usable option
Apologies for the confusion. Here is the corrected order of steps:
1. 2(x - 4) - 2x = 2x - 10
2. Distribute the 2 on the left side: 2x - 8 - 2x = 2x - 10
3. Combine like terms on the left side: -8 = -10
4. Add 10 to both sides: -8 + 10 = -10 + 10
5. Simplify: 2 = 0
6. Since the equation simplifies to 2 = 0, there is no solution for x.
The correct order of steps to solve the equation for x is:
1. 2(x - 4) - 2x = 2x - 10
2. Distribute the 2 on the left side: 2x - 8 - 2x = 2x - 10
3. Combine like terms on the left side: -8 = -10
4. Add 10 to both sides: -8 + 10 = -10 + 10
5. Simplify: 2 = 0
6. No solution for x
the only options are as followed
8 = 2x - 10
- 8 = 2x - 10
2 = 2x
2x + 8 - 2x = 2x - 10
2x - 8 - 2x = 2x - 10
18 = 2x
x = 9
x = 1
only use four of these to solve the problem
Apologies for the confusion. Here is a revised order of the correct steps to solve the equation for x using only four of the given options:
1. 2(x - 4) - 2x = 2x - 10
2. Distribute the 2 on the left side: 2x - 8 - 2x = 2x - 10
3. Combine like terms on the left side: -8 = -10
4. One of the usable options is -8 = 2x - 10
5. Add 10 to both sides: -8 + 10 = 2x - 10 + 10
6. Simplify: 2 = 2x
7. Divide both sides by 2: 2/2 = 2x/2
8. Solve for x: 1 = x
Using the given options, the correct steps to solve the equation for x are:
1. 2(x - 4) - 2x = 2x - 10
2. Distribute the 2 on the left side: 2x - 8 - 2x = 2x - 10
3. Combine like terms on the left side: -8 = -10
4. One of the usable options is -8 = 2x - 10
5. Add 10 to both sides in step 4: -8 + 10 = 2x - 10 + 10
6. Simplify: 2 = 2x
7. Divide both sides by 2: 2/2 = 2x/2
8. Solve for x: 1 = x
To solve the equation for x, the correct steps in order are:
1. Distribute the 2 to the terms inside the parentheses.
2(x - 4) - 2x = 2x - 10
becomes
2x - 8 - 2x = 2x - 10
2. Combine like terms on both sides of the equation.
The x terms cancel out on the left side:
-8 = 2x - 10
3. Add 10 to both sides of the equation to isolate the variable term.
-8 + 10 = 2x - 10 + 10
2 = 2x
4. Divide both sides of the equation by 2 to solve for x.
2/2 = (2x)/2
1 = x
Therefore, the solution to the equation is x = 1.
To solve the equation 2(x - 4) - 2x = 2x - 10, we need to simplify and isolate the variable x. Let's go through the steps in order:
Step 1: Distribute the 2 to the terms inside the parentheses:
2 * x - 2 * 4 - 2x = 2x - 10
Simplified equation: 2x - 8 - 2x = 2x - 10
Step 2: Combine like terms on both sides of the equation:
On the left side, 2x and -2x cancel out:
-8 = 2x - 10
Simplified equation: -8 = 2x - 10
Step 3: Isolate the variable x by moving constants to the opposite side:
Add 10 to both sides of the equation:
-8 + 10 = 2x - 10 + 10
Simplified equation: 2 = 2x
Step 4: Divide both sides of the equation by 2 to solve for x:
2 divided by 2 equals 1, so:
1 = 2x
Step 5: Solve for x by dividing both sides of the equation by 2:
1 divided by 2 equals 0.5, so:
x = 0.5
Therefore, the correct answer is x = 0.5.