Drag and drop the correct steps to solve the equation for x. Make sure to put the steps in order. Not all steps are listed will be used.
2(x-4)-2x = 2x - 10
1. Distribute the 2 to both terms inside the parentheses: 2(x-4) becomes 2x - 8.
2. Simplify the equation: 2x - 8 - 2x = 2x - 10 becomes -8 = -10.
3. No solution is possible since -8 does not equal -10.
Note: The equation given does not have a solution.
1. Expand the expression by distributing 2 to both terms inside the parentheses: 2(x-4) = 2x - 8.
2. Simplify the left side of the equation: 2x - 8 - 2x = 2x - 10.
3. Combine like terms on the left side of the equation: -8 = -10.
4. Isolate the variable by adding 8 to both sides of the equation: -8 + 8 = -10 + 8.
5. Simplify: 0 = -2.
6. Since 0 does not equal -2, there is no solution for x.
To solve the equation 2(x-4)-2x = 2x - 10, we need to simplify the equation and isolate the variable x. Here are the correct steps in order:
Step 1: Distribute the 2 to both terms inside the parentheses:
2 * x - 2 * 4 - 2x = 2x - 10
Step 2: Simplify by removing parentheses:
2x - 8 - 2x = 2x - 10
Step 3: Combine like terms on both sides of the equation:
-8 = 2x - 10
Step 4: Move the constant term (-10) to the left side by adding 10 to both sides of the equation:
-8 + 10 = 2x - 10 + 10
Simplified equation after step 4: 2 = 2x
Step 5: Divide both sides of the equation by the coefficient of x (2) to isolate x:
2/2 = 2x/2
Simplified equation after step 5: 1 = x
Therefore, the solution to the equation 2(x-4)-2x = 2x - 10 is x = 1.