does anybody know the answer to this math question?

Question

3 x (2 x n + 17) - 51 = 4 x n - 44

please make sure your math is correct

Answer 1

Distribute the 3 through the parentheses on the left:
6 x n + 3 x 17 - 51 = 4 x n - 44

Now multiply 3 x 17 and subtract 51, you'll get 0:
6 x n = 4 x n - 44

Subtract 4 x n from both sides:
2 x n = -44

Divide both sides by 2:
n = -44 / 2
n = -22

Always double check your answer:
3 x (2 x (-22) + 17) - 51 =? 4 x (-22) - 44
3 x (-44 + 17) - 51 =? -88 - 44
3 x (-27) - 51 =? -132
-81 - 51 =? -132
-132 = -132 <-- check

So the answer of n = -22 is correct.

Answer 2

I assume your x is multiplication.
3(2n + 17) - 51 = 4n - 44
6n + 51 - 51 = 4n - 44
2n = -44
n = -22

Answer 3

is that x a variable or a multiplication sign?

3 (2n + 17) - 51 = 4n - 44

6n +51 -51 = 4n + - 44
6n = 4n + -44
2n= -44
n= -22

Answer 4

So I'm assuming you mean:

3(2n+17)-51=4n-44

You want to get n by itself so:

1. add 51 to both sides

2. distribute the 3

3. subtract the constant [the number without 'n' on the left side] from both sides

4. get the terms with 'n' on one side of the equals sign

5. divide to get n by itself

Answer 5

n = -22