240:(x:15)-18=42

Let's solve the given equation step by step. As written, the equation is:

240 : (x : 15) - 18 = 42

Before proceeding, it's important to note that the colon ":" typically denotes division in some countries, so we will replace ":" with the division symbol "/" for clarity.

The equation thus becomes:

240 / (x / 15) - 18 = 42

Now, let's isolate the term with x by moving the -18 to the other side of the equation:

240 / (x / 15) = 42 + 18

Simplify the right side of the equation:

240 / (x / 15) = 60

Now multiply both sides of the equation by (x / 15) to get rid of the denominator on the left side:

240 = 60 * (x / 15)

Solve for x by multiplying both sides of the equation by 15:

240 * 15 = 60 * x

Calculate the left side:

3600 = 60 * x

Now divide both sides by 60 to isolate x:

3600 / 60 = x

Calculate the result:

x = 60

So the solution to the equation is x = 60.