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
O 8 = 2x - 10
O - 8 = 2x - 10
O 2 = 2x
O 2x + 8 - 2x = 2x - 10
O 2x - 8 - 2x = 2x - 10
O 18 = 2x
O x = 9
O x = 1
1. 2(x - 4) - 2x = 2x - 10
2. Distribute the 2: 2x - 8 - 2x = 2x - 10
3. Combine like terms: -8 = -10
4. Add 8 to both sides: -8 + 8 = -10 + 8
5. Simplify: 0 = -2
6. This equation has no solution.
1. Distribute the 2 to both terms inside the parentheses:
2(x - 4) - 2x = 2x - 10
2x - 8 - 2x = 2x - 10
2. Combine like terms on both sides of the equation:
-8 = 2x - 10
3. Add 10 to both sides of the equation:
-8 + 10 = 2x - 10 + 10
4. Simplify:
2 = 2x
5. Divide both sides of the equation by 2 to solve for x:
2/2 = 2x/2
6. Simplify:
1 = x
Therefore, the solution to the equation is x = 1.
To solve the equation 2(x - 4) - 2x = 2x - 10 for x, we need to follow a series of steps. Let's go through each step in order:
Step 1: Distribute the 2 on the left side of the equation:
2 * x = 2x
2 * -4 = -8
So, the equation becomes:
2x - 8 - 2x = 2x - 10
Step 2: Simplify both sides of the equation by combining like terms:
On the left side, the 2x on one side and (-2x) on the other side cancel each other out, leaving us with:
-8 = 2x - 10
Step 3: Solve for x by isolating the variable term:
To isolate the 2x on the right side, we need to get rid of the -10. We can do this by adding 10 to both sides of the equation:
-8 + 10 = 2x - 10 + 10
2 = 2x
Now, we have the equation:
2 = 2x
Step 4: Solve for x by dividing both sides of the equation by 2:
Dividing both sides by 2 gives us:
2/2 = 2x/2
1 = x
So, the value of x that solves the equation is:
x = 1
Therefore, the correct steps in order are:
O 2(x - 4) - 2x = 2x - 10
O 2x - 8 - 2x = 2x - 10
O -8 = 2x - 10
O -8 + 10 = 2x - 10 + 10
O 2 = 2x
O 2/2 = 2x/2
O 1 = x