Solve for X in (2x-2)×2/5 = 5: Step-by-Step Equation

To solve this problem, we'll perform the following calculations:

• Step 1: Multiply both sides of the equation by $\frac{5}{2}$ to eliminate the fraction:

$5 \times \frac{5}{2} = (2x - 2) \times \frac{2}{5} \times \frac{5}{2}$

This simplifies to:

$\frac{25}{2} = 2x - 2$

• Step 2: Solve for $x$ by isolating it on one side of the equation.
• Add 2 to both sides to shift the constant:

$\frac{25}{2} + 2 = 2x - 2 + 2$

$\frac{25}{2} + \frac{4}{2} = 2x$

$\frac{29}{2} = 2x$

• Step 3: Solve for $x$ by dividing both sides by 2:

$x = \frac{29}{4}$

Therefore, the solution to the problem is that $x = 7\frac{1}{4}$.