(3x − 2)/6 − (4x + 1)/4 = −2?

Question

what is x? I got 3.83 and it was marked wrong

Answer 1

Multiply everything by 12 to get rid of fractions:

2(3x-2) - 3(4x+1) = -24   so now distribute:

6x -4 -12x -3 = -24   now combine:

-6x -7 = -24   now add 7

-6x = -17,   now divide by -6

x = 17/6 or around 2.8333

Answer 2

(3x − 2)/6 − (4x + 1)/4 = −2

4(3x - 2) - 6(4x + 1) = -2(4)(6)

12x - 8 - 24x - 6 = - 48 

-12x - 14 = -48 

12x + 14 = 48 

12x = 34 

x = 34/12 

x = 2 10/12 = 2 5/6 = (2.83333.....)

Answer 3

Let solve it

(3x − 2)/6 − (4x + 1)/4 = −22(3x − 2) − 3(4x + 1) = −24− 6x = −17x ≈ 2.8333Thus x is 2.8333

Answer 4

 3x - 2...........4x + 1

[----------- -  --------------= - 2]24

....6.................... 4

4(3x - 2) - 6(4x + 1) = - 48

 12x - 8 - 24x - 6 = - 48

 - 12x - 14 = - 48

 - 12x = - 48 + 14

 - 12x = - 34

  x = 17/6 Answer//

Source(s): https://www.wolframalpha.com/input/?i=%283x+%E2%88...

Answer 5

(3x − 2)/6 − (4x + 1)/4 = −2

2(3x − 2) − 3(4x + 1) = −24

6x = 17

x = 2.833..

Answer 6

Lets try a graphic image solution

Answer 7

(3x − 2)/6 − (4x + 1)/4 = −2

2(3x − 2) − 3(4x + 1) = −24

− 6x = −17

x ≈ 2.8333

Answer 8

My first thought is you had the right answer, but you rounded to 2DP.  Unless told to do so you should keep the result as a fraction.

(3x - 2) / 6 - (4x + 1) / 4 = -2

Multiply both sides by 12 (the LCD) to remove the fractions:

2(3x - 2) - 3(4x + 1) = -24

Expand the left side and combine like terms:

6x - 4 - 12x - 3 = -24

-6x - 7 = -24

Add 7 to both sides:

-6x = -17

Divide both sides by -6:

x = 17/6

So you did something to be off by 1.  (17/6 = 2.83 rounded to 2DP), but either way the answer should be left as a simplified fraction.

Answer 9

Multiply both sides by the lowest common denominator of 12 to get rid of fractions:

2(3x - 2) - 3(4x + 1) = -24

6x - 4 - 12x - 3 = -24

Group like terms:

6x - 12x = -24 + 4 + 3

-6x = -17

Divide both sides by -6:

x = -17/-6

x = 17/6 or 2⅚

That's the exact answer as a fraction. Even if you allow for a decimal equivalent, the answer would be 2.83333... which is still not what you wrote. 

I think you must have switched a sign somewhere in your calculation. Double-check your work.

You should always test that your answer gives the correct result:

(3x - 2)/6 - (4x + 1)/4 = -2

(3(17/6) - 2)/6 - (4(17/6) + 1)/4 =? -2

(17/2 - 2)/6 - (34/3 + 1)/4 =? -2

(17/2 - 4/2)/6 - (34/3 + 3/3)/4 =? -2

(13/2)/6 - (37/3)/4 =? -2

13/12 - 37/12 =? -2

-24/12 =? -2

-2 = -2 ✓

Answer:

x = 17/6 or 2⅚ or 2.83333...

Answer 10

(3x − 2)/6 − (4x + 1)/4 = -2

2/2 * (3x - 2)/6 - 3/3 * (4x + 1)/4 = -2

(6x - 4)/12 - (12x - 3)/12 = -2

(6x - 4 - 12x + 3)/12 = -2

(-6x - 1)/12 = -2

-6x - 1 = -24

-6x = -23

x = -23/-6 = 3.83

I agree with your answer.