What value of x with make the equation below true? 1/2 (2x + 8) = 3x + 8 - x

Please help

Step-by-step explanation:

1/2 (2x+8)=3x+8−x

Use the distributive property to multiply 1/2=0.5 by 2x+8.

1/2 x 2x+1/2x8=3x+8-x

Cancel out 2 and 2.

x+1/2 ×8=3x+8−x

Multiply 1/2 =0.5 and 8 to get  8/2=4.

x+8/2=3x+8−x

Divide 8 by 2 to get 4.

x+4=3x+8−x

Combine 3x and −x to get 2x.

x+4=2x+8

Subtract 2x from both sides.

x+4−2x=8

Combine x and −2x to get −x.

−x+4=8

Subtract 4 from both side

−x=4

Multiply both sides by −1.

x=−4

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.

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step-by-step explanation: