# 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.

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