Estimate the value of x given this equation: 11x+29=82 .(1 point) Responses 5 5 6 6 11 11 10

1 answer

To solve the equation \( 11x + 29 = 82 \), follow these steps:

  1. Subtract 29 from both sides: \[ 11x = 82 - 29 \] \[ 11x = 53 \]

  2. Divide both sides by 11: \[ x = \frac{53}{11} \] \[ x \approx 4.8181 \]

Since the options given are integers (5, 6, 11, 10), the closest integer value for \( x \) is \( 5 \).

Therefore, the best estimate of \( x \) is 5.