How do you solve the equation where the quantity of x plus 20 is divided by 2, equals 3x?

To solve the equation where the quantity of x plus 20 over 2 equals 3x, we can start by expressing this mathematically:

We have:

(x + 20) / 2 = 3x

To eliminate the fraction, we can multiply both sides of the equation by 2:

x + 20 = 6x

Next, we want to isolate x on one side of the equation. To do this, we will subtract x from both sides:

20 = 6x – x

This simplifies to:

20 = 5x

Now, to solve for x, we divide both sides by 5:

x = 20 / 5

This simplifies to:

x = 4

So, the solution to the equation is:

x = 4

To double-check our work, we can substitute x back into the original equation:

(4 + 20) / 2 = 3 * 4

This gives us:

(24) / 2 = 12

Which is:

12 = 12

Since both sides are equal, our solution is verified. The solution to the equation is indeed:

x = 4