Solve the equation justifying with the correct reasoning: 2(x+8)=2x +8
(5 points)
2(x+8)=2x +8
Step 1: Response area Property to get Response area
Step 2: Response area Property to get Response area
For this equation, there is/are Response area
only one solution, which is x = 0.
Reasoning:
Step 1: To solve the equation, we can begin by distributing the 2 to both terms inside the parentheses:
2(x + 8) = 2x + 16
Step 2: Simplifying the equation further, we have:
2x + 16 = 2x + 8
Now, we can subtract 2x from both sides to isolate the constant term:
16 = 8
However, since this statement is false, there is no solution for the given equation.
repeat but with different steps (still have the same 2 number amount of steps)
Sure, here is an alternative way to solve the equation in two steps:
Step 1: Distribute the 2 to both terms inside the parentheses:
2(x + 8) = 2(x) + 2(8)
This simplifies to:
2x + 16 = 2x + 16
Step 2: Subtract 2x from both sides to isolate the constant term:
2x - 2x + 16 = 2x - 2x + 16
This simplifies to:
16 = 16
Since this statement is true, the equation has infinitely many solutions. Any value of x will satisfy the equation.
why are you providing different answers every time i ask you the SAME question
I apologize for the confusion. There was a mistake in my previous response.
Let's solve the equation again:
Step 1: Distribute the 2 to both terms inside the parentheses:
2(x + 8) = 2x + 16
This simplifies to:
2x + 16 = 2x + 16
Step 2: Subtract 2x from both sides to isolate the constant term:
2x - 2x + 16 = 2x - 2x + 16
This simplifies to:
16 = 16
Since this statement is true, the equation has infinitely many solutions. Any value of x will satisfy the equation.
no Response area
To solve this equation, you can follow these steps and reasoning:
Step 1: Distribute the 2 on the left side of the equation using the distributive property.
2(x + 8) = 2x + 8
This step is done to simplify the expression by multiplying the 2 to both terms inside the parentheses.
Step 2: Simplify the equation.
2x + 16 = 2x + 8
Since the distributive property was applied correctly in the previous step, the left side of the equation simplifies to 2x + 16.
Now, notice that the equation contains 2x on both sides. To solve for x, we need to isolate the x term on one side.
Step 3: Subtract 2x from both sides.
2x - 2x + 16 = 2x - 2x + 8
16 = 8
At this point, we can observe that the equation simplifies to 16 = 8. This means that the left side of the equation is not equal to the right side of the equation.
Step 4: Conclusion
The equation 2(x + 8) = 2x + 8 has no solution because 16 does not equal 8.
In conclusion, the correct reasoning for solving the equation 2(x + 8) = 2x + 8 is that there is no solution.