3x+1=2x+7

To solve the equation \(3x + 1 = 2x + 7\), follow these steps:

1. Subtract \(2x\) from both sides: \[ 3x - 2x + 1 = 7 \] This simplifies to: \[ x + 1 = 7 \]

2. Next, subtract \(1\) from both sides: \[ x = 7 - 1 \] This simplifies to: \[ x = 6 \]

So, the solution to the equation \(3x + 1 = 2x + 7\) is \(x = 6\).