Solve for x . 114x+9=31 (1 point)

x=110
x=-8
x=8
x=22

1 answer

To solve the equation \( 114x + 9 = 31 \), follow these steps:

  1. Subtract 9 from both sides of the equation:

    \[ 114x + 9 - 9 = 31 - 9 \] \[ 114x = 22 \]

  2. Divide both sides by 114:

    \[ x = \frac{22}{114} \]

  3. Simplify the fraction:

    \[ x = \frac{11}{57} \]

Now, \( \frac{11}{57} \) does not match any of the given options. Let's check the accuracy of my simplification:

Since none of the provided answers match \( \frac{11}{57} \), it seems there may be a mistake in either the equation or the options provided.

Please double-check the equation or options. However, none of the options \( 110, -8, 8, 22 \) is the correct solution for the given equation \( 114x + 9 = 31 \).

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