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
Step 1: Combine like terms
5x - 12 - 6x = -10x + 7 - 1 simplifies to:
-x - 12 = -10x + 6
Step 2: Get x-terms on same side of equation
To get x-terms on the same side, add 10x to both sides:
9x - 12 = 6
Step 3: Get constants on same side of equation
To get constants on the same side, add 12 to both sides:
9x = 18
Step 4: Get the x by itself by using the inverse operation
To isolate x, divide both sides by 9:
x = 2
Step 1: Combine like terms.
Combining like terms on the left side of the equation, we have:
5x - 12 - 6x = -10x + 7 - 1
Combine "5x" and "-6x" to get "-x":
-x - 12 = -10x + 7 - 1
Step 2: Get x-terms on the same side of the equation.
To have all the x-terms on one side, we can add 10x to both sides of the equation:
-x + 10x - 12 = -10x + 10x + 7 - 1
Simplifying, we have:
9x - 12 = 7
Step 3: Get constants on the same side of the equation.
To have all the constants on one side, we can add 12 to both sides of the equation:
9x - 12 + 12 = 7 + 12
Simplifying, we have:
9x = 19
Step 4: Get the x by itself by using the inverse operation.
To isolate x, we can divide both sides of the equation by 9:
(9x)/9 = 19/9
Simplifying, we have:
x = 19/9
So the solution to the equation is x = 19/9.