To solve for \( x \) in the equation \( 4.1 + (0.2 - x) = -1.9 \), we can follow these steps:
Combine the terms on the left side of the equation: \[ 4.1 + 0.2 - x = -1.9 \] This simplifies to: \[ 4.3 - x = -1.9 \]
Next, isolate \( x \) by moving terms around. First, subtract \( 4.3 \) from both sides: \[ -x = -1.9 - 4.3 \] Calculating the right side gives: \[ -x = -6.2 \]
To solve for \( x \), multiply both sides by -1: \[ x = 6.2 \]
Thus, the solution is \( x = 6.2 \).