Laura is thinking of a number such that the sum of the number and five times two more than the number is 26 more than four times the number. Determine the number Laura is thinking of.

8

Step-by-step explanation:

Let  x  be the unknown number.

Then the equation is

x + 5*(x+2) = 4x + 26.

Solve it:

x + 5x + 10 = 4x + 26.

6x - 4x = 26 - 10,

2x = 16,

x = 16%2F2 = 8.

i dont know sorry

step-by-step explanation:

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)