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
-6x +3 + 4x = -6x + 30
4x - 18 = 30
-8x + 3 = 30
-2x -18 = -6x + 30
4x = 48
-8x = 27
x = -27/8
1. Distribute the -6 to both terms inside parentheses:
-6(x + 3) = -6x - 18
2. Combine like terms on the left side of the equation:
-6x - 18 + x = -6x + 30
3. Simplify the equation:
-5x - 18 = -6x + 30
4. Add 6x to both sides of the equation:
4x - 18 = 30
5. Add 18 to both sides of the equation:
4x = 48
6. Divide both sides of the equation by 4:
x = 12
no
Apologies for the incorrect order. Here is the correct order of steps:
1. Distribute the -6 to both terms inside parentheses:
-6(x + 3) = -6x - 18
2. Combine like terms on the left side of the equation:
-6x - 18 + x = -6x + 30
3. Simplify the equation:
-5x - 18 = -6x + 30
4. Add 6x to both sides of the equation:
-5x + 6x - 18 = -6x + 6x + 30
5. Combine like terms on both sides of the equation:
x - 18 = 30
6. Add 18 to both sides of the equation:
x - 18 + 18 = 30 + 18
7. Simplify the equation:
x = 48
Therefore, the correct solution is x = 48.
1. Distribute -6 to both terms inside the parentheses:
-6(x + 3) + x = -6x + 30
2. Apply the distributive property:
-6x - 18 + x = -6x + 30
3. Combine like terms on the left side:
-5x - 18 = -6x + 30
4. Subtract -6x from both sides to isolate the x terms:
-5x + 6x - 18 = 30
5. Combine like terms on the left side:
x - 18 = 30
6. Add 18 to both sides to isolate the x term:
x = 48
Therefore, the solution to the equation is x = 48.
To solve the equation for x, you can follow these steps:
Step 1: Distribute the -6 to the terms inside the parentheses:
-6(x + 3) + x = -6x + 30
This equation simplifies to:
-6x - 18 + x = -6x + 30
Step 2: Combine like terms on each side of the equation:
-6x - 18 + x = -6x + 30
Combine the x terms on the left side:
-5x - 18 = -6x + 30
Step 3: Move the variables to one side and the constants to the other side by adding or subtracting:
To eliminate the -6x term on the right side, you can add 6x to both sides:
-5x - 18 + 6x = -6x + 30 + 6x
This simplifies to:
x - 18 = -6 + 30
Step 4: Simplify the equation further:
x - 18 = -6 + 30
Combine the constants on the right side:
x - 18 = 24
Step 5: Isolate the variable x by moving the constant term to the other side of the equation:
To eliminate the -18 term on the left side, you can add 18 to both sides:
x - 18 + 18 = 24 + 18
This simplifies to:
x = 42
Therefore, the correct order of steps to solve the equation for x is:
-6(x + 3) + x = -6x + 30
-6x - 18 + x = -6x + 30
x - 18 = -6 + 30
x - 18 + 18 = 24 + 18
x = 42