Simplify the following expression.

4(20+12)÷(5−3)

First, calculate the expression inside the parentheses:

20+12 = 32

Next, calculate the expression inside the division symbol:

5 - 3 = 2

Now we can simplify the expression:

4(32) ÷ 2

Multiply 4 by 32:

128 ÷ 2

Divide 128 by 2:

64

Therefore, the simplified expression is 64.

To simplify the expression 4(20+12)÷(5−3), follow the following steps:

Step 1: Begin by simplifying the expression within the parentheses (20+12):
20 + 12 = 32

Step 2: Rewrite the expression with the simplified value within the parentheses:
4(32)÷(5−3)

Step 3: Multiply the number outside the parentheses with the value within the parentheses:
4 * 32 = 128

Step 4: Rewrite the expression with the product from Step 3:
128 ÷ (5−3)

Step 5: Subtract the numbers within the parentheses:
5 − 3 = 2

Step 6: Rewrite the expression with the difference from Step 5:
128 ÷ 2

Step 7: Perform the division operation:
128 ÷ 2 = 64

Therefore, the simplified expression is 64.