To solve the given equation, we will follow the steps mentioned below:

Step 1: Simplify both sides of the equation

Given equation: 5x - (2x - 7) = 2(3x - 1)

Let's simplify the equation step by step:

First, we distribute the 2 on the right side of the equation:
5x - (2x - 7) = 6x - 2

Next, we distribute the negative sign inside the parentheses:
5x - 2x + 7 = 6x - 2

Now, let's combine like terms:
3x + 7 = 6x - 2

Step 2: Isolate the variable on one side

To isolate the variable, we need to move the terms containing x to one side and the constant terms to the other side. Let's do that:

Subtract 3x from both sides of the equation:
3x + 7 - 3x = 6x - 2 - 3x

This simplifies to:
7 = 3x - 2

Next, add 2 to both sides of the equation:
7 + 2 = 3x - 2 + 2

This simplifies to:
9 = 3x

Step 3: Solve for x

To solve for x, we need to isolate the variable. In this case, we can do that by dividing both sides of the equation by 3:

9/3 = 3x/3

This simplifies to:
3 = x

So, the solution to the given equation is x = 3.

In conclusion, the solution to the equation 5x - (2x - 7) = 2(3x - 1) is x = 3.