Order equivalent equations of 2(x – 3) = 4x to solve for x.
2x – 6 = 4x
-3 = 2x
-3 = x
-6 = 2x
2x – 3 = 4x
-3/2 = x
Order equivalent equations of 2(x – 3) = 4x to solve for x.
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Order equivalent equations of 2(x – 3) = 4x to solve for x.
2x – 6 = 4x
-3 = 2x
-3 = x
-6 = 2x
2x – 3 = 4x
-3/2 = x
To solve the equation (2(x – 3) = 4x), let’s first simplify it step by step:
1. Distribute the 2:
[
2x – 6 = 4x
]
2. Rearrange the equation:
Subtract (2x) from both sides:
[
-6 = 4x – 2x
]
This simplifies to:
[
-6 = 2x
]
3. Divide both sides by 2 to isolate (x):
[
x = -3
]
Now, let’s check the equivalent equations provided:
– (2x – 6 = 4x) is correct.
– (-3 = 2x) can be rearranged to get (x = -3); this is also correct.
– (-3 = x) is not equivalent, as we found (x = -3) but this format isn’t foundationally sound since it suggests a contradiction.
– (-6 = 2x) is correct and leads to the same conclusion.
– (2x – 3 = 4x) does not hold true based on the original equation as it’s derived differently.
– (-frac{3}{2} = x) is incorrect based on the solved value.
Therefore, the correct