Which equation is equivalent to 8x + 3(x + 5) - 5(x - 4) = 2? A. 6x + 35 = 2 B. 6x + 1 = 2 C. 6x – 5 = 2 D. 43x = 2

A.

A

Step-by-step explanation:

8x + 3(x + 5) - 5(x - 4) = 2

Distribute the 3

8x  + 3*x +3*5 -5(x-4)=2

8x+3x+15 -5(x-4)=2

Distribute the -5

8x+3x+15 -5*x +-5*-4=2

8x+3x+15-5x+20=2

Combine like terms

8x+3x-5x+20+15=2

6x+35=2

So, A is the correct choice

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)

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.