Question

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

Answer 1

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)