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
1. Distribute the 2 to both terms inside the parentheses.
2. Simplify both sides of the equation by combining like terms.
3. Get all the x terms on one side of the equation.
4. Isolate the x term by moving the constant term to the other side of the equation.
5. Combine like terms again.
6. Divide both sides of the equation by the coefficient of x to solve for x.
1. Distribute the 2 to both terms inside the parentheses: 2 * x = 2x and 2 * -4 = -8.
2. Rewrite the equation after distributing the 2: 2x - 8 - 2x = 2x - 10.
3. Combine like terms on both sides of the equation: 2x - 2x - 8 = 2x - 2x - 10 becomes -8 = -10.
4. Since -8 is not equal to -10, there is no solution to the equation.
To solve the equation 2(x - 4) - 2x = 2x - 10 and put the steps in order, the following steps can be used:
1. Distribute the 2 to the terms inside the parentheses: 2 * x = 2x and 2 * -4 = -8
The equation becomes: 2x - 8 - 2x = 2x - 10
2. Combine like terms on both sides of the equation: 2x - 2x = 2x - 10
The equation simplifies to: -8 = 2x - 10
3. Add 10 to both sides of the equation to isolate the variable term: -8 + 10 = 2x
The equation becomes: 2 = 2x
4. Divide both sides of the equation by 2 to solve for x: 2/2 = 2x/2
The equation simplifies to: 1 = x
Therefore, the correct order of steps to solve the equation for x is: 1, 2, 3, 4.