If 4 is subtracted from twice a number, the result is 10 less than the number. Find the number.

-6

Step-by-step explanation:

Let x= the number

2x-4=x-10 ⇔ according to the statement

  x-4=-10 ⇔ subtraction property of equality (subtract x from both sides)

     x=-6 ⇔ addition property of equality (add 4 on both sides)

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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)