What value of "x" makes the equation below true?

–2(1 – 5x) = 4 – 4(-2x)

x = 3

Step-by-step explanation:

Step 1 - Expand the brackets:

-2(1 - 5x) = 4 - 4(-2x)

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

-2 + 10x = 4 + 8x

Step 2 - Subtract 8x from both sides:

-2 + 10x - 8x = 4 + 8x - 8x

-2 + 2x = 4

Step 3 - Add 2 to both sides and isolate 2x:

-2 + 2x + 2 = 4 + 2

2x = 6

Step 4 - Divide by two:

2x ÷ 2 = 6 ÷ 2

x = 3

Hope this helps!

goog may have it for you

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.