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How many solutions exist for the given equation? 3(x – 2) = 22 – x
Question
How many solutions exist for the given equation?
3(x – 2) = 22 – x
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Mathematics
3 years
2021-08-23T13:30:46+00:00
2021-08-23T13:30:46+00:00 2 Answers
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Answers ( )
Answer:
One solution
Step-by-step explanation:
Solve for x to determine how many solutions it has
3(x – 22) = 22 – x
Distribute the 3
3x – 66 = 22 – x
Add x to both sides
4x – 66 = 22
Add 66 to both sides
4x = 88
Divide both sides by 4
x = 22
The equation has only one solution, the solution being 22
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