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Which of the following best describes the solution to the equation below? -4(4x + 9) = -2(8x + 18)

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Which of the following best describes the solution to the equation below? -4(4x + 9) = -2(8x-example-1
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User Misael
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Answer: Infinite real solutions

To find this, you first want to multiply the parenthesis by the external numbers on each side.
-4(4x + 9) = -16x - 36.
-2(8x + 18) = -16x - 36.

We are left with the equation -16x -36 = -16x -36. We are already given the answer here, but we can rewrite it to make it more clear.

We start by isolating the x variables by adding 36 to each side: (-16x - 36) + 36 = (-16x - 36) + 36. This leaves us with -16x = -16x. We can simplify this further by dividing by negative 16: -16x/-16 = x. This leaves us with the equation x = x. This equation is true for every single real number.

I hope this helps, if you have any questions let me know.
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User Jwatt
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