Order the the steps to solve the equation for x. Make sure to put the steps in order. Not all steps will be used.
-6(x + 3) +x = -6x + 30
x = 12
-6x -18 + 4x = -6 x + 30
4x - 18 = 30
-2x -18 = -6x + 30
4x = 48
-8x = 27
x = -27/8
x = 12
-6x -18 + 4x = -6 x + 30
-6x +3 + 4x = -6x + 30
4x - 18 = 30
-8x + 3 = 30
-2x -18 = -6x + 30
4x = 48
-8x = 27
x = -27/8
1) Simplify the left side of the equation: -6(x + 3) + x = -6x + 30
2) Distribute -6: -6x - 18 + x = -6x + 30
3) Combine like terms: -6x + x -18 = -6x + 30
4) Combine like terms: -5x - 18 = -6x + 30
5) Add 5x to both sides: -18 = -x + 30
6) Subtract 30 from both sides: -48 = -x
7) Multiply both sides by -1: 48 = x
8) Simplify: x = 48
Here is the correct order of steps to solve the equation for x:
1. Distribute -6 to both terms in parentheses: -6(x + 3) = -6x - 18
2. Combine like terms: -6x - 18 + x = -6x + 30
3. Simplify the equation: -5x - 18 = -6x + 30
4. Add 6x to both sides: -5x + 6x - 18 = -6x + 6x + 30
5. Combine like terms again: x - 18 = 30
6. Add 18 to both sides: x - 18 + 18 = 30 + 18
7. Simplify: x = 48
So the correct order of steps is: 1, 2, 3, 4, 5, 6, 7
To solve the equation -6(x + 3) + x = -6x + 30, you can follow these steps in order:
Step 1: Distribute the -6 to both terms inside the parentheses:
-6 * x = -6x
-6 * 3 = -18
The equation becomes: -6x - 18 + x = -6x + 30
Step 2: Combine like terms on the left side of the equation:
-6x + x = -5x
The equation becomes: -5x - 18 = -6x + 30
Step 3: Move all terms containing x to one side of the equation by adding 6x to both sides:
-5x + 6x = x
-6x = -5x + 30
The equation becomes: x - 18 = 30
Step 4: Combine like terms on the right side of the equation:
-5x + 30 = 30
The equation becomes: x - 18 = 30
Step 5: Move the constant term to the other side of the equation by adding 18 to both sides:
x - 18 + 18 = 30 + 18
The equation becomes: x = 48
So the solution to the equation is x = 48.