Question

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

−1.224
−
1.224
negative 1.224

−3.06
−
3.06
negative 3.06

−52.1
−
52.1
negative 52.1

−30.6

Answer 1

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

1. **Add 2.15 to both sides:**
\[
0.2x - 2.15 + 2.15 = -8.27 + 2.15
\]
This simplifies to:
\[
0.2x = -6.12
\]

2. **Divide both sides by 0.2:**
\[
x = \frac{-6.12}{0.2}
\]
Calculate the division:
\[
x = -30.6
\]

Thus, the solution of the equation is \( \boxed{-30.6} \).