Problem: Solve for x: 3x + 5 = 2x
Thought Process:
1. Goal: Isolate the variable ( x ) on one side of the equation.
2. Step 1: Subtract ( 2x ) from both sides to eliminate ( x ) on the right:
[
3x + 5
]
3. Step 2: Subtract 5 from both sides to isolate ( x ):
[
x + 5
]
4. Verification: Substitute ( x = -12 ) back into the original equation:
Final Answer:
The solution is (boxed{-12}).
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