Find the value of x in this equation. 3/4(8x – 6) – 2 = 1/2 – x , i need the extra credit

3/4(8x – 6) – 2 = 1/2 –  x

6x - 4.5 - 2 = 0.5 - x

6x + x =  0.5 + 4.5 + 2

7x = 7

x = 1  answer

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)

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8