9). \( 2(-x+3)-(5 x-10)=-4(1-3 x)+(8 x-7) \)

To solve the equation \( 2(-x + 3) - (5x - 10) = -4(1 - 3x) + (8x - 7) \), we start by distributing and simplifying both sides. On the left side: \[ 2(-x + 3) = -2x + 6 \] \[ - (5x - 10) = -5x + 10 \] So, combining the left side: \[ -2x + 6 - 5x + 10 = -7x + 16 \] On the right side: \[ -4(1 - 3x) = -4 + 12x \] Combining the right side: \[ -4 + 12x + 8x - 7 = 20x - 11 \] Now we have the simplified equation: \[ -7x + 16 = 20x - 11 \] Next, we add \( 7x \) to both sides: \[ 16 = 27x - 11 \] Now, add \( 11 \) to both sides: \[ 27 = 27x \] Dividing both sides by 27 gives: \[ x = 1 \] So the final solution is \( x = 1 \).