Add:
`5x - 8y + 2z, 3z - 4y - 2x, 6y - z - x and 3x - 2z - 3y `

Answer

To solve the problem of adding the algebraic expressions \(5x - 8y + 2z\), \(3z - 4y - 2x\), \(6y - z - x\), and \(3x - 2z - 3y\), we will follow these steps:

### Step 1: Write down the expressions
We have the following expressions:
1. \(5x - 8y + 2z\)
2. \(3z - 4y - 2x\)
3. \(6y - z - x\)
4. \(3x - 2z - 3y\)

### Step 2: Group the expressions
We will group the expressions for easier addition:
\[ (5x - 8y + 2z) + (3z - 4y - 2x) + (6y - z - x) + (3x - 2z - 3y) \]

### Step 3: Combine like terms
Now, we will combine like terms. We will separate the terms based on their variables \(x\), \(y\), and \(z\).

#### Combine \(x\) terms:
\[ 5x - 2x - x + 3x = (5 - 2 - 1 + 3)x = 5x \]

#### Combine \(y\) terms:
\[ -8y - 4y + 6y - 3y = (-8 - 4 + 6 - 3)y = -9y \]

#### Combine \(z\) terms:
\[ 2z + 3z - z - 2z = (2 + 3 - 1 - 2)z = 2z \]

### Step 4: Write the final expression
Now, we can write the final expression by combining all the results:
\[ 5x - 9y + 2z \]

### Final Answer:
Thus, the sum of the given algebraic expressions is:
\[ \boxed{5x - 9y + 2z} \]

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