Explanation

Given:
$3x + 7 = 5x - 2$

Step 1: Get all x terms on one side

Subtract $3x$ from both sides:

$$3x+7-3x=5x-2-3x\Rightarrow 7=2x-2$$

Step 2: Get constants on the other side

Add 2 to both sides:

$$7+2=2x-2+2\Rightarrow 9=2x$$

Step 3: Solve for x

Divide both sides by 2:

x=9​/2=4.5

Final Answer: 4.5​

So actually, the correct answer is 4.5, not 5.