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Solve for x.

114x+9=31(1 point)
Responses

x=110
x equals 110

x=−8
x equals negative 8

x=22
x equals 22

x=8

1 answer

To solve the equation \( 114x + 9 = 31 \), we first isolate \( x \).

  1. Start by subtracting 9 from both sides: \[ 114x = 31 - 9 \] \[ 114x = 22 \]

  2. Next, divide both sides by 114: \[ x = \frac{22}{114} \]

  3. Simplifying \( \frac{22}{114} \): \[ \frac{22 \div 2}{114 \div 2} = \frac{11}{57} \]

Since \( \frac{11}{57} \) is not one of the given options, it looks like there's a mistake in the original equation provided (it should be \( 31 \) as not having a term).

If we reconsider the original problem, \( 114x + 9 = 31 \):

  1. Rearranging gives: \[ 114x = 22 \]

So with all calculations, we have \( x = \frac{11}{57} \) concluded.

None of the options: 110, -8, 22, or 8 matches.

Please confirm the statement of the problem for more accurate elements but under current iterations: None of the options are correct.