5,5•(7-3x)=|-39,7|-6,3•(2-x)

To solve the equation \( 5.5 \cdot (7 - 3x) = |-39.7| - 6.3 \cdot (2 - x) \), we'll simplify both sides step by step.

1. Calculate the absolute value: \[ |-39.7| = 39.7 \] So the equation becomes: \[ 5.5 \cdot (7 - 3x) = 39.7 - 6.3 \cdot (2 - x) \]

2. Distribute on both sides: On the left side: \[ 5.5 \cdot (7 - 3x) = 5.5 \cdot 7 - 5.5 \cdot 3x = 38.5 - 16.5x \]

   On the right side: \[ 6.3 \cdot (2 - x) = 6.3 \cdot 2 - 6.3 \cdot x = 12.6 - 6.3x \] So the equation now looks like: \[ 38.5 - 16.5x = 39.7 - (12.6 - 6.3x) \]

   Simplifying the right side: \[ 39.7 - 12.6 + 6.3x = 27.1 + 6.3x \] Now the equation is: \[ 38.5 - 16.5x = 27.1 + 6.3x \]

3. Combine like terms: Move all x terms to one side and constant terms to the other: \[ 38.5 - 27.1 = 16.5x + 6.3x \]

   Simplifying the left side: \[ 11.4 = 22.8x \]

4. Solve for x: \[ x = \frac{11.4}{22.8} = 0.5 \]

The solution to the equation \( 5.5 \cdot (7 - 3x) = |-39.7| - 6.3 \cdot (2 - x) \) is: \[ \boxed{0.5} \]