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

Solution:

The given equation is

3(x - 2) = 22 - x

Using the multiplicative distributive property

3x - 6 = 22 - x

On rearranging the common terms on LHS and constants on RHS

3x + x = 22 + 6

4x = 28

Dividing both sides by 4

x = 7

Therefore, the given equation has one solution.

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

Summary:

The given equation 3(x - 2) = 22 - x has one solution.