To solve the equation, let's first simplify it step by step:
240:(x:15)-18=42
First, let's rewrite the equation using division signs:
240 / (x / 15) - 18 = 42
Now let's isolate the term with x by adding 18 to both sides:
240 / (x / 15) = 42 + 18 240 / (x / 15) = 60
Next, we need to get rid of the denominator. To do this, we'll multiply both sides by (x / 15):
240 = 60 * (x / 15)
Now, to simplify the right side, we need to multiply 60 by (x / 15):
240 = 60x / 15
To get rid of the denominator (15), we multiply both sides by 15:
240 * 15 = 60x
Now, simplify the left side by multiplying:
3600 = 60x
Finally, to solve for x, divide both sides by 60:
3600 / 60 = x
x = 60
So, the value of x that satisfies the original equation is 60.
