Evaluate :
`2x(3x - 5) - 5(x-2)-18` for x = 2.

Answer

To evaluate the expression \(2x(3x - 5) - 5(x - 2) - 18\) for \(x = 2\), we will follow these steps:

### Step 1: Substitute \(x = 2\) into the expression
The original expression is:
\[ 2x(3x - 5) - 5(x - 2) - 18 \]
Substituting \(x = 2\):
\[ 2(2)(3(2) - 5) - 5(2 - 2) - 18 \]

### Step 2: Simplify the terms inside the parentheses
Calculating \(3(2) - 5\):
\[ 3(2) = 6 \quad \Rightarrow \quad 6 - 5 = 1 \]
Now the expression becomes:
\[ 2(2)(1) - 5(0) - 18 \]

### Step 3: Calculate the multiplication
Now calculate \(2(2)(1)\):
\[ 2(2)(1) = 4 \]
And \(5(0)\):
\[ 5(0) = 0 \]
So the expression simplifies to:
\[ 4 - 0 - 18 \]

### Step 4: Perform the subtraction
Now, we perform the subtraction:
\[ 4 - 0 = 4 \]
Then:
\[ 4 - 18 = -14 \]

### Final Result
Thus, the value of the expression when \(x = 2\) is:
\[ \boxed{-14} \]