-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 \(x = -6\).