Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
5x−12−6x=−10x+7−1
Combine like terms on both sides of the equation:
5x - 6x + 10x = 7 - 1 + 12
Combine like terms on the left side:
9x = 18
Simplify the right side:
9x = 18
Divide both sides by 9 to solve for x:
x = 2
Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
5x−12−6x=−10x+7−1
Step 1: Combine like terms Response area,
Step 2: Get x-terms on same side of equation Response area
Step 3: Get constants on same side of equation Response area
Step 4: Get the x by itself by using the inverse operation Response area
To solve the equation 5x−12−6x=−10x+7−1, follow these steps:
Step 1: Collect like terms on both sides of the equation.
Combine the x terms on the left side by subtracting 6x from 5x:
5x - 12 - 6x = -10x + 7 - 1
Simplify the left side:
(5x - 6x) - 12 = -10x + 6
Result: -x - 12 = -10x + 6
Step 2: Move all terms involving x to one side of the equation.
To do this, add 10x to both sides:
-x + 10x - 12 = -10x + 10x + 6
Simplify:
9x - 12 = 6
Result: 9x - 12 = 6
Step 3: Move the constant term to the other side of the equation.
To do this, add 12 to both sides:
9x - 12 + 12 = 6 + 12
Simplify:
9x = 18
Result: 9x = 18
Step 4: Solve for x by dividing both sides of the equation by the coefficient of x.
Divide both sides by 9:
(9x)/9 = 18/9
Simplify:
x = 2
Result: x = 2
So the solution to the equation 5x−12−6x=−10x+7−1 is x = 2.
To solve the equation 5x - 12 - 6x = -10x + 7 - 1, follow the steps below:
Step 1: Combine like terms on both sides of the equation.
To do this, add or subtract terms with the same variable and exponent:
Starting equation: 5x - 12 - 6x = -10x + 7 - 1
Combine like terms:
-1x - 12 = -10x + 6
Step 2: Move all terms containing x to one side of the equation.
To do this, you can add or subtract terms to both sides of the equation. The goal is to isolate the x term on one side.
Starting equation: -1x - 12 = -10x + 6
Add 10x to both sides:
-1x + 10x - 12 = -10x + 10x + 6
Simplify the equation:
9x - 12 = 6
Step 3: Remove any constants from the side with the x terms.
To do this, you can add or subtract constants to both sides of the equation.
Starting equation: 9x - 12 = 6
Add 12 to both sides:
9x - 12 + 12 = 6 + 12
Simplify the equation:
9x = 18
Step 4: Solve for x by dividing both sides of the equation by the coefficient of x.
Starting equation: 9x = 18
Divide both sides by 9:
(9x)/9 = 18/9
Simplify the equation:
x = 2
Therefore, the solution to the equation 5x - 12 - 6x = -10x + 7 - 1 is x = 2.
Step 1: Combine like terms
5x - 6x + 10x = 7 - 1 + 12
Step 2: Get x-terms on same side of equation
9x - 10x = 7 + 12 - 1
Step 3: Get constants on same side of equation
-1x = 18 - 1
Step 4: Get the x by itself by using the inverse operation
-1x = 17
To solve for x, multiply both sides by -1:
x = -17