How do you solve 4x/2 = 8?

To solve \( \frac{4x}{2} = 8 \), simplify and isolate \( x \) by performing inverse operations.

First, simplify the left-hand side of the equation. The expression \( \frac{4x}{2} \) can be simplified by dividing both the numerator and the denominator by 2. This gives us \( 2x \). So, the equation now reads \( 2x = 8 \).

Next, to isolate \( x \), you need to get rid of the coefficient 2 that is multiplying \( x \). You can do this by performing the inverse operation, which is division. Divide both sides of the equation by 2:

\[ \frac{2x}{2} = \frac{8}{2} \]

This simplifies to:

\[ x = 4 \]

So, the solution to the equation \( \frac{4x}{2} = 8 \) is \( x = 4 \).

To check your solution, substitute \( x = 4 \) back into the original equation:

\[ \frac{4 \times 4}{2} = 8 \]

This simplifies to:

\[ \frac{16}{2} = 8 \]

And indeed, \( 8 = 8 \), confirming that \( x = 4 \) is correct.