applesauce8338
applesauce8338 applesauce8338
  • 12-08-2021
  • Mathematics
contestada


How many solutions exist for the given equation?
3(x-2)=22-x
O zero
Oone
Otwo
Oinfinitely many

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 12-08-2021

Answer:

one solution

Step-by-step explanation:

3(x-2)=22-x

Distribute

3x -6 = 22-x

Add x to each side

3x-6+x = 22-x+x

4x-6 =22

Add 6 to each side

4x-6+6 = 22+6

4x = 28

Divide by 4

4x/4 = 28/4

x = 7

There is one solution

Answer Link
Аноним Аноним
  • 12-08-2021

Answer:

It has only one solution

Step-by-step explanation:

[tex]3(x - 2) = 22 - x [/tex]

open the brackets:

[tex]3x - 6 = 22 - x[/tex]

collect like terms together:

[tex]3x + x = 22 + 6[/tex]

then solve:

[tex]4x = 28 \\ x = \frac{28}{4} \\ \\ x = 7[/tex]

Answer Link

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