Solve the following linear equation: \( 3x - 7 = 2x + 5 \)

Step 1 ：First, we isolate \(x\) on one side of the equation. So we subtract \(2x\) from both sides of the equation: \(3x - 2x = 2x + 5 - 2x\), which simplifies to \(x = 5 + 7\).

Step 2 ：Next, we simplify the right side of the equation to get the final answer: \(x = 12\).