You need to solve this equation for x: ax−7=26
Which would be the best first step you could make to solve the equation?
(1 point)
Responses
Combine ax - 7 to get -7x
Combine ax - 7 to get -7x
divide ax by a and 26 by a
divide ax by a and 26 by a
subtract 7 from the left side of the equation
subtract 7 from the left side of the equation
add 7 to both sides of the equation
subtract 7 from the left side of the equation
Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1
(4 points)
First, let's combine like terms on each side of the equation:
(5x - 6x) - 12 = (-10x + 7) - 1
Now simplify:
-1x - 12 = -10x + 6
Next, let's isolate the variable terms on one side of the equation and the constant terms on the other side. We can do this by adding 10x to both sides:
-1x + 10x - 12 = -10x + 10x + 6
Now simplify:
9x - 12 = 6
Finally, let's isolate the x term by adding 12 to both sides:
9x - 12 + 12 = 6 + 12
Now simplify:
9x = 18
To find the value of x, divide both sides of the equation by 9:
9x/9 = 18/9
Simplify:
x = 2
Therefore, the solution to the equation is 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
,
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
The option "x = 2" (12 of 13) has been selected from position 4 of 4. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.
5x−12−6x=−10x+7−1
Step 1: Combine like terms
(5x - 6x) - 12 = -10x + 6
-1x - 12 = -10x + 6
Step 2: Get x-terms on same side of equation
-1x + 10x - 12 = -10x + 10x + 6
Step 3: Get constants on same side of equation
9x - 12 = 6
Step 4: Get the x by itself by using the inverse operation
9x = 18
Therefore, the solution is x = 2.
The best first step to solve the equation ax - 7 = 26 would be to add 7 to both sides of the equation.
The best first step to solve the equation ax - 7 = 26 is to add 7 to both sides of the equation.
Explanation:
To isolate the variable x, it is important to get rid of any constants or terms from the right side of the equation. By adding 7 to both sides of the equation, we will eliminate the -7 on the left side, leaving us with ax = 33 (since -7 + 7 = 0).