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
(2 points)
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1. Distribute the 2 to both terms inside the parentheses to eliminate the parentheses.
2. Simplify the equation by combining like terms on both sides of the equation.
3. Remove the -2x term on the left side of the equation by adding 2x to both sides.
4. Move all terms containing x to one side of the equation.
5. Simplify the equation by combining like terms.
6. Divide both sides of the equation by the coefficient of x to solve for x.
Step 1: Distribute the 2 to both terms inside the parentheses: 2 * x = 2x and 2 * -4 = -8. The equation becomes 2x - 8 - 2x = 2x - 10.
Step 2: Simplify the expression: -8 - 2x = -10.
Step 3: Move the variable term to one side of the equation: -2x = -2.
Step 4: Divide both sides of the equation by -2 to solve for x: x = 1.
So the correct steps in order are:
Step 1: Distribute the 2 to both terms inside the parentheses.
Step 2: Simplify the expression.
Step 3: Move the variable term to one side of the equation.
Step 4: Divide both sides of the equation by -2 to solve for x.
To solve the equation 2(x−4)−2x=2x−10, you can use the following steps:
1. Distribute the 2 to both terms inside the parentheses:
2 * x - 2 * 4 - 2x = 2x - 10
2. Simplify the equation by multiplying the numbers:
2x - 8 - 2x = 2x - 10
3. Combine like terms on both sides of the equation:
-8 = 2x - 10
4. Move the variable term to one side by subtracting 2x from both sides:
-8 - 2x = -10
5. Simplify further:
-2x - 8 = -10
6. Move the constant term to the other side by adding 8 to both sides:
-2x - 8 + 8 = -10 + 8
7. Simplify further:
-2x = -2
8. Solve for x by dividing both sides of the equation by -2:
x = -2 / -2
9. Simplify the division:
x = 1
So, the solution to the equation is x = 1.