Solve the Equation: Discover X in 7/8x = 2/5

To solve for $x$ in the equation $\frac{7}{8}x = \frac{2}{5}$, we will follow these steps:

• Multiply both sides of the equation by the reciprocal of $\frac{7}{8}$, which is $\frac{8}{7}$.
• Simplify the resulting expression to find the value of $x$.

Let's work through these steps:

First, multiply both sides by $\frac{8}{7}$ to isolate $x$ on the left side.

$\frac{8}{7} \times \frac{7}{8}x = \frac{8}{7} \times \frac{2}{5}$

This simplifies to:

$x = \frac{8}{7} \times \frac{2}{5}$

Now, perform the multiplication of the fractions:

$x = \frac{8 \times 2}{7 \times 5} = \frac{16}{35}$

Thus, the value of $x$ is $\frac{16}{35}$.