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taurus [48]
3 years ago
8

How many solutions exist for the given equation3(x-2) = 22-x

Mathematics
2 answers:
mixer [17]3 years ago
8 0
3x-6=22-x. 4x=28. x=7.
Natali [406]3 years ago
7 0

Answer:

 x = 7

It has only one solution.

Step-by-step explanation:

Given : 3(x-2) = 22-x

To find : how many solutions exist for the given equation

Solution : We have given

3(x-2) = 22-x

Distributes 3 over x -2.

3x - 6 = 22- x

On adding both sides b y 6

3x = 22+ 6 - x .

3x  = 28 - x .

3x +x = 28.

4x = 28.

On dividing both sides by 4

x = 7

It has only one solution.

Therefore, x = 7

It has only one solution.

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