3,8x-(1, 6-1, 2x) =9, 6+(3, 7-5x)

Let’s solve the equation step by step.

The equation is:

\[ 3.8x - (1.6 - 1.2x) = 9.6 + (3.7 - 5x) \]

First, distribute the negative sign on the left side:

\[ 3.8x - 1.6 + 1.2x = 9.6 + 3.7 - 5x \]

Now, combine like terms on each side.

On the left side:

\[ 3.8x + 1.2x - 1.6 = 5x - 1.6 \]

On the right side:

\[ 9.6 + 3.7 = 13.3 \]

So the equation now looks like:

\[ 5x - 1.6 = 13.3 - 5x \]

Now, add \( 5x \) to both sides:

\[ 5x + 5x - 1.6 = 13.3 \]

This simplifies to:

\[ 10x - 1.6 = 13.3 \]

Next, add \( 1.6 \) to both sides:

\[ 10x = 13.3 + 1.6 \]

This results in:

\[ 10x = 14.9 \]

Now, divide both sides by \( 10 \):

\[ x = \frac{14.9}{10} \]

So,

\[ x = 1.49 \]

Thus, the solution is:

\[ x = 1.49 \]