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3 years ago

How many solutions exist for the given equation? 3(x – 2) = 22 – x

Mathematics

2 answers:

Orlov [11]3 years ago

4 0

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

Anna11 [10]3 years ago

4 0

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

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