16x−12/4x−3 is equivalent to:

A
4x/3

B
4x−3/x

C
x−4

D
3

E
4

(16x-12)/(4x-3)

4(4x-3)/(4x-3) =>4

16x - 12
-----------
4x - 3

Put in numbers for x is another way to proceed

x = 0
-12 / -3 = 4

x = 1
4 / 1 = 4

x = 2
20 / 5 = 4

x = -1
-28 / -7 = 4

This can be fun to do and you can learn some math while doing it!

The main problem is if you write this

16 - 12 / 4x - 3

isn't that the same as

16 - 3 - 12 / 4x
13 - 3 x

This is the reason Brackets were invented

(16 - 12) / (4x - 3)

You must put the parenthesis, I was almost tricked that you didn't put the parenthesis because this way, I almost did the division first since there wasn't parenthesis.

(16x-12)/(4x-3),
factor,
16x-12=4(4x-3),
4(4x-3)/(4x-3),
(4x-3)'s cancel out,
4/1=4.
Answer: 4. E.

16x-12/4x-3

=4(4x-3)/(4x-3)

=>4

E. 4.