Solve 6 x 4 = 4 x for x and determine if the solution is extraneous or not

To solve the equation 6 x 4 = 4 x, we start by simplifying both sides of the equation.

First, let’s rewrite the equation:

6 * 4 = 4 * x

This simplifies to:

24 = 4x

Next, to isolate x, we divide both sides by 4:

x = 24 / 4

Doing the division gives us:

x = 6

Now, we should check if this solution is extraneous by substituting x = 6 back into the original equation:

6 * 4 = 4 * 6

This simplifies to:

24 = 24

Since both sides are equal, our solution x = 6 is valid and not extraneous. Thus, the solution to the equation is x = 6.