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 both sides:
Left side: \[ 3.8x + 1.2x - 1.6 = (3.8 + 1.2)x - 1.6 = 5x - 1.6 \]
Right side: \[ 9.6 + 3.7 - 5x = 13.3 - 5x \]
Now the equation looks like this:
\[ 5x - 1.6 = 13.3 - 5x \]
Next, add \( 5x \) to both sides:
\[ 5x + 5x - 1.6 = 13.3 \]
This simplifies to:
\[ 10x - 1.6 = 13.3 \]
Now, add \( 1.6 \) to both sides:
\[ 10x = 13.3 + 1.6 \] \[ 10x = 14.9 \]
Now, divide both sides by \( 10 \):
\[ x = 1.49 \]
Thus, the solution is:
\[ x = 1.49 \]
