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
subtract 7 from the left side of the equation
Combine ax - 7 to get -7x
Add 7 to both sides of the equation
divide ax by a and 26 by a
The best first step to solve the equation ax−7=26 is to add 7 to both sides of the equation.
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
Step 1: Combine like terms: On the left side of the equation, we have 5x - 12 - 6x. Combining these x-terms gives us -x - 12. On the right side of the equation, we have -10x + 7 - 1. Combining these constants gives us -10x + 6.
Step 2: Get x-terms on same side of equation: We want to get rid of the x-term on the right side of the equation. To do this, we can add x to both sides of the equation. This gives us -x - 12 + x = -10x + 6 + x. On the left side, the -x and x will cancel out, leaving us with -12 = -9x + 6.
Step 3: Get constants on same side of equation: We want to isolate the x-term. To do this, we can subtract 6 from both sides of the equation. This gives us -12 - 6 = -9x + 6 - 6. Simplifying, we get -18 = -9x.
Step 4: Get the x by itself by using the inverse operation: To get x by itself, we can divide both sides of the equation by -9. This gives us (-18)/(-9) = (-9x)/(-9). Simplifying, we get 2 = x.
Therefore, the solution to the equation 5x−12−6x=−10x+7−1 is x = 2.
Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1
(4 points)
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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
5x − 12 − 6x = −10x + 7 − 1
Step 1: Combine like terms -5x - 12 = -10x + 6
Step 2: Get x-terms on same side of equation -5x + 10x = 6 + 12
Step 3: Get constants on same side of equation 5x = 18
Step 4: Get the x by itself by using the inverse operation x = 18/5
The best first step to solve the equation ax - 7 = 26 would be to add 7 to both sides of the equation. This would eliminate the -7 on the left side and isolate the term with x.
To solve the equation ax - 7 = 26 for x, the best first step would be to add 7 to both sides of the equation.
Here's why:
When you add 7 to both sides of the equation, it helps isolate the term containing x on one side of the equation. By doing this, you "undo" the subtraction of 7 from the left side.
The equation now becomes ax = 33 (26 + 7).
This step allows you to eliminate the constant term (-7) from one side and isolate the term with x on one side. This will make it easier to solve for x in the next steps.