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-58x - 26 8x - 230.6?

Updated: 9/26/2023
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7y ago

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My best guess is that you have an exercise which is headed (and thus gives the context): "solve for x in the following equations", though it could quite easily be: solve for x in the following inequalities".

As such, there is some sign between the 26 and 8x which unfortunately has been stripped out; it is one of {=<>≤≥}

If I solve it for equals (=), then the others will follow:

-58x - 26 = 8x - 230.6

→ -26 + 230.6 = 58x + 8x

→ 204.6 = 64x

→ 3.196875 = x

I have deliberately left the x on the right so that when the inequalities are inserted, the correct answer is given:

  • -58x - 26 = 8x - 230.6 → 3.196875 = x, or with x on the left: x = 3.196875
  • -58x - 26 < 8x - 230.6 → 3.196875 < x, or with x on the left: x > 3.196875
  • -58x - 26 > 8x - 230.6 → 3.196875 > x, or with x on the left: x < 3.196875
  • -58x - 26 ≤ 8x - 230.6 → 3.196875 ≤ x, or with x on the left: x ≥ 3.196875
  • -58x - 26 ≥ 8x - 230.6 → 3.196875 ≥ x, or with x on the left: x ≤ 3.196875

Note the change of the inequalities when the x is shifted from the right to the left so that the same meaning is read.

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7y ago
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7y ago

Thanks to the rubbish browser used by this site for posting questions, all that we can see are a disjoint set of algebraic terms followed by a question mark. It is not even possible to tell what is required!

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