7-x/3=-1-x/8 i'm in 8th grade and i can't figure this out

x = 38.4

Step-by-step explanation:

7-x/3 = -1-x/8

1. Add 1 to both sides

8-x/3 = -x/8

2. Add x/3 to both sides

8 = x/3 - x/8

3. Multiply x/3 by 8/8 and x/8 by 3/3 to get the same number under the quotient

8 = 8x/24 - 3x/24

4. calculate the difference between 8x/24 - 3x/24

8 = 5x/24

5. Multiply both sides by 24/5, and there is the answer

38.4 = x

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)