How many solutions exist for the given equation?

3(x – 2) = 22 – x

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

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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step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)