It will take 8 hours to paint a room. how long will it take to paint 2/3 of the room?

5 hours and 20 minutes.

Step-by-step explanation:

Let be "x" the time in hours that will take to paint of the room.

You know that 8 hours is the time it takes to paint the room.

With this information you can set up the following proportion:

Finally, you must solve for the variable "x" in order to find its value.

You get that this is:

Since:

You can determine that:

Then, the answer is: 5 hours and 20 minutes.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.