Simplify the expression: 3(2x + 4) - 2(5 - x).

Step 1: Distribute the numbers outside the parentheses to the terms inside the parentheses.

3 * 2x + 3 * 4 - 2 * 5 + 2 * x

Step 2: Simplify the multiplication.

6x + 12 - 10 + 2x

Step 3: Combine like terms.

(6x + 2x) + (12 - 10)

Step 4: Simplify the addition.

8x + 2

So, the simplified expression is 8x + 2.