Solve the following linear equation for \(x\): \(3x - 5 = 4x + 7\)

Step 1 ：Step 1: Subtract \(3x\) from both sides to isolate \(x\) on one side of the equation: \( -5 = x + 7 \)

Step 2 ：Step 2: Subtract \(7\) from both sides to isolate \(x\): \( -5 - 7 = x \)

Step 3 ：Step 3: Simplify the left side: \( -12 = x \)