What is the solution of the equation 0.2x−2.15=−8.27 ?(1 point)

Responses

−1.224
negative 1.224

−30.6
negative 30.6

−52.1
negative 52.1

−3.06

1 answer

To solve the equation \( 0.2x - 2.15 = -8.27 \), we can follow these steps:

  1. Add \( 2.15 \) to both sides of the equation:

    \[ 0.2x = -8.27 + 2.15 \]

  2. Calculate the right side:

    \[ -8.27 + 2.15 = -6.12 \]

    So now we have:

    \[ 0.2x = -6.12 \]

  3. Next, divide both sides by \( 0.2 \):

    \[ x = \frac{-6.12}{0.2} \]

  4. Calculate the division:

    \[ x = -30.6 \]

Thus, the solution to the equation is \( x = -30.6 \).

The correct response is:

−30.6 (negative 30.6)