What is the solution of the equation 0.2x−2.15=−8.27

Question

?(1 point)
Responses

−52.1
negative 52.1

−30.6
negative 30.6

−1.224
negative 1.224

−3.06

Answer 1

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

1. Add 2.15 to both sides to isolate the term with \(x\):

   \[ 0.2x - 2.15 + 2.15 = -8.27 + 2.15 \]

   This simplifies to:

   \[ 0.2x = -6.12 \]

2. Divide both sides by 0.2 to solve for \(x\):

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

   Performing the division:

   \[ x = -30.6 \]

Thus, the solution to the equation is \( \text{-30.6} \).