-2x+1=7-x

To solve the equation \(-2x + 1 = 7 - x\), follow these steps:

1. Add \(x\) to both sides to eliminate the \(-x\) on the right side: \[ -2x + x + 1 = 7 \] This simplifies to: \[ -x + 1 = 7 \]

2. Subtract 1 from both sides to get rid of the constant on the left side: \[ -x = 7 - 1 \] This simplifies to: \[ -x = 6 \]

3. Multiply both sides by -1 to solve for \(x\): \[ x = -6 \]

So, the solution to the equation \(-2x + 1 = 7 - x\) is \(x = -6\).