I need help solving this please.
x/4 - x/5 - 1/3 = 16/15
easiest way:
multiply each term by 60 , the LCD
15x - 12x - 20 = 64
take over
thank you Reiny.
To solve this equation, we need to get rid of the denominators and isolate the variable x.
The denominators in this equation are 4, 5, and 3. The common denominator we can use is 60, which is the product of these three numbers.
Now, we can multiply each term in the equation by 60 to eliminate the denominators:
(60 * x)/4 - (60 * x)/5 - (60 * 1)/3 = (60 * 16)/15
Simplifying this equation gives:
15x - 12x - 20 = 64
Combine like terms:
3x - 20 = 64
Next, we want to isolate the variable x. Add 20 to both sides of the equation:
3x = 64 + 20
3x = 84
Finally, divide both sides of the equation by 3 to solve for x:
x = 84/3
which simplifies to:
x = 28
Therefore, the solution to the equation is x = 28.