How do you solve this alegebra problem?

Question

1/4 + 1/3 (5x + 2) = -2

I keep getting -13/20 but when I check the answer with the back of my book it's wrong.

Answer 1

1/4 + 5x/3 +2/3 = -2

3/12 + 20x/12 + 8/12 = -24/12

20x = -24 - 8 - 3

20x = -35

x= -35/20

x= -7/4

Answer 2

1/4 + 1/3(5x+2)=-2

subtract 1/4 from both sides

1/3(5x+2)= -2 1/4

divide 1/3 from both sides

5x+2= - 6 3/4

subtract 2 from both sides

5x = - 8 3/4

divide 5 from both sides

x= - 1 3/4

Answer 3

-7/4

=> 1/4 + 1/3 (5x + 2) = -2

=> 1/3 (5x + 2) = -2 - 1/4 = -8/4 - 1/4 = -9/4

=> 1/3 (5x + 2) = -9/4

=> [1/3 (5x + 2) = -9/4]* 3

=> 5x + 2 = -27/4

=> 5x = -27/4 -2 = -27/4 - 8/4 = -35/4

=> 5x = -35/4

=> [5x = -35/4]/5

=> x = -35/4 * 1/5 = -35/20 = -7/4

Answer 4

Yes, your answer is incorrect.

Multiple both side by 12 to get rid of the fractional forms.

3 + 4(5x + 2) = -24

Now expand, isolate and solve.

3 + 20x + 8 = -24

20x = -35

x = -35/20 = - 1 3/4

Answer 5

combine like terms:

1/4 +1/3(5x +2) = -2

1/4 +5/3x +2/3 = -2

5/3x + 3/12 + 8/12 = -2

5/3x +11/12 = -2

subtract 11/12:

5/3x = -2 11/12

simplify fraction:

5/3x = -35/12

multiply by 3/5:

x = -35/20 = -7/4

answer:

x = -7/4 or -1 3/4