**Solving the Equation 5x-2(2x-7)=(3x-1) 7/2 using Formula**

To solve the given equation, we need to follow the order of operations and simplify both sides of the equation. We can start by distributing the negative 2 outside the parentheses on the left side of the equation. This gives us:

5x - 4x + 14 = 3x - 1.5

Next, we can combine like terms on both sides of the equation. On the left side, 5x - 4x = x. On the right side, we can add 1.5 to both sides to get rid of the decimal. This gives us:

x + 14 = 3x + 0.5

We can now isolate the variable x by subtracting x from both sides of the equation and subtracting 0.5 from both sides. This gives us:

14 - 0.5 = 3x - x

Simplifying the left side gives us:

13.5 = 2x

Finally, we can solve for x by dividing both sides by 2. This gives us:

x = 6.75

Therefore, the solution to the equation 5x-2(2x-7)=(3x-1) 7/2 is x = 6.75.

**Key Takeaways**

- Distribute any terms outside parentheses.
- Combine like terms on both sides of the equation.
- Isolate the variable by performing inverse operations (adding, subtracting, multiplying, or dividing) on both sides of the equation.
- Simplify the equation as much as possible before solving for the variable.