Question

How many solutions exist for the given equation?

3(x-2)=22-x
O zero
Oone
Otwo
Oinfinitely many

Answer 1

It has only one solution

Explanation:

`3(x - 2) = 22 - x`

open the brackets:

`3x - 6 = 22 - x`

collect like terms together:

`3x + x = 22 + 6`

then solve:

`4x = 28 \\ x = (28)/(4) \\ \\ x = 7`

Answer 2

one solution

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