What is the solution of the equation 0.2x−2.15=−8.27 ?(1 point)
Responses
−3.06
negative 3.06
−1.224
negative 1.224
−30.6
negative 30.6
−52.1
negative 52.1
Responses
−3.06
negative 3.06
−1.224
negative 1.224
−30.6
negative 30.6
−52.1
negative 52.1
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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:**
\[
0.2x - 2.15 + 2.15 = -8.27 + 2.15
\]
\[
0.2x = -8.27 + 2.15
\]
\[
0.2x = -6.12
\]
2. **Divide both sides by 0.2 to isolate \( x \):**
\[
x = \frac{-6.12}{0.2}
\]
\[
x = -30.6
\]
Thus, the solution to the equation is \( x = -30.6 \).
**Final Answer:**
-30.6
1. **Add 2.15 to both sides of the equation:**
\[
0.2x - 2.15 + 2.15 = -8.27 + 2.15
\]
\[
0.2x = -8.27 + 2.15
\]
\[
0.2x = -6.12
\]
2. **Divide both sides by 0.2 to isolate \( x \):**
\[
x = \frac{-6.12}{0.2}
\]
\[
x = -30.6
\]
Thus, the solution to the equation is \( x = -30.6 \).
**Final Answer:**
-30.6
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