Solve for x . 114x+9=31 (1 point) Responses x=110 x equals 110 x=−8 x equals negative 8 x=8 x equals 8 x=22

Answer 1

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

1. Subtract 9 from both sides: \[ 114x + 9 - 9 = 31 - 9 \] This simplifies to: \[ 114x = 22 \]

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

3. Simplify the fraction: \[ x = \frac{22 \div 2}{114 \div 2} = \frac{11}{57} \]

Thus, \( x = \frac{11}{57} \).

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