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

Question

Responses

−3.06
negative 3.06

−1.224
negative 1.224

−30.6
negative 30.6

−52.1
negative 52.1

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: \[ 0.2x - 2.15 + 2.15 = -8.27 + 2.15 \] \[ 0.2x = -8.27 + 2.15 \] \[ 0.2x = -6.12 \]

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