Evaluate: 72 + 35 − 28 + (18 + 12) × 2 − 50 = ?

The correct answer is 89.

To evaluate the given mathematical expression, we follow the BODMAS / PEMDAS rule, which specifies the order of operations:
1. Brackets / Parentheses
2. Orders / Exponents
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)

The given expression is:

$72+35-28+(18+12)\times 2-50$

Step 1: Simplify the expression inside the parentheses.

$18+12=30$

Replacing the parenthetical term back into the expression gives:

$72+35-28+30\times 2-50$

Step 2: Perform the multiplication operation.

$30\times 2=60$

Substituting this back into the expression gives:

$72+35-28+60-50$

Step 3: Perform addition and subtraction operations sequentially from left to right.

First addition:

$72+35=107$

First subtraction:

$107-28=79$

Second addition:

$79+60=139$

Final subtraction:

$139-50=89$

Therefore, the final value of the expression is 89.