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: \[ x = 1.49 \]