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Korvikt [17]
3 years ago
14

1/2x+4=2/3x solve for x

Mathematics
1 answer:
natita [175]3 years ago
5 0

Answer:

24=x

Step-by-step explanation:

1/2x+4=2/3x

Subtract 1/2 x from each side

1/2x-1/2x+4=2/3x-1/2x

4 = 2/3x-1/2x

We need to get a common denominator of 6 on the right

4 = 2/3x *2/2 = 1/2x *3/3

4 = 4/6 x - 3/6 x

4 = 1/6 x

Multiply each side by 6 to isolate x

4*6 = 1/6x *6

24 =x

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1. 2x + 4 = 3(x – 2) + 1
sweet [91]
Please, do not post more than 1 or 2 questions at a time.  Out of courtesy I will address one of your six questions here:

<span>2x + 4 = 3(x – 2) + 1

You are to solve this for x.

1) perform the multiplication:     </span><span>2x + 4 = 3x - 6 + 1
2) combine like terms:                4+6-1 = x
3) solve for x:                              x = 11
4) check:  Is 2(11) + 4 = 3(11-2) + 1 true?
   Is 22+4 = 33-6 true?  NO.  Try again, looking for the mistake:

</span><span>2x + 4 = 3(x – 2) + 1  =>   2x + 4 = 3x - 6 + 1
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Check:  Is 2(9) + 4 = 3(9-2) + 1 true?  Is 18+4 = 22 true?  YES.
The solution to #1 is  x = 9  (answer).

Submit your other questions separately, please.

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