-3х+1+(х-5)=5(3-х)+5

Let's solve the equation step by step. The equation is: \[ -3x + 1 + (x - 5) = 5(3 - x) + 5 \] First, simplify both sides. Starting with the left side: \[ -3x + 1 + x - 5 = -3x + x + 1 - 5 = -2x - 4 \] Now, simplify the right side: \[ 5(3 - x) + 5 = 15 - 5x + 5 = 20 - 5x \] Now we have the simplified equation: \[ -2x - 4 = 20 - 5x \] Next, let's isolate \(x\). Add \(5x\) to both sides: \[ -2x + 5x - 4 = 20 \] This simplifies to: \[ 3x - 4 = 20 \] Now, add \(4\) to both sides: \[ 3x = 24 \] Finally, divide by \(3\): \[ x = 8 \] Thus, the solution to the equation is: \[ \boxed{8} \]