-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:

\[ \boxed{8} \]