Well, it’s not that complicated if you know the rules. So, you’ve got 2 times (3x – 4) minus 3 times (x – 2), right?. You first need to do the math inside the brackets. This means you multiply 2 with 3x and -4 and -3 with x and -2. You’ll get 6x minus 8 minus 3x plus 6. After that, you just add up the x’s and the numbers. So in the end, you’ll get 3x – 2.

The process of simplifying the algebraic expression 2(3x – 4) – 3(x – 2) involves a series of steps – mainly the application of the distributive property and then combining like terms. Firstly, we distribute the numbers outside the brackets which results in 6x – 8 – 3x + 6. We then combine the like terms, where 6x minus 3x gives 3x, and -8 plus 6 results in -2. So after combining the like terms, the expression simplifies to: 3x – 2.