In the equation, what is the value of x? −4(x + 4x) = 2(2 − x) + 10

Hello from MrBillDoesMath!

x = -7/9

Discussion:

-4 (x + 4x)        = 2 (2 -x) + 10       =>

-4(5x)               = 4 - 2x + 10         =>

-20x                 = 14 - 2x                => add 2x to each side

-20x + 2x = 14                               =>

-18x = 14                                        =>

x = -14/18 = -7/9

Thank you,

MrB

-7/9

Step-by-step explanation:

ye

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.