Final answer:
To solve the equation x - 2/5 = 10 for the variable 'x', we first add 2/5 to both sides to isolate 'x'. Then we convert 10 to a fraction with the same denominator, 50/5, and add it to 2/5. The solution is x = 52/5.
Step-by-step explanation:
To solve the equation ×-2/5 = 10 for the variable, we start by isolating the variable 'x'. We assume that there is a typo in the equation and it should be 'x' instead of the multiplication symbol '×'. So the correct equation should be x-2/5 = 10. The first step is to reverse the subtraction of 2/5 from 'x' so we add 2/5 to both sides of the equation:
x - 2/5 + 2/5 = 10 + 2/5
This simplifies to:
x = 10 + 2/5
Next, we convert the whole number into a fraction that has the same denominator as 2/5 to combine them:
x = 50/5 + 2/5
Now, we add the fractions:
x = 52/5
Finally, we have x = 52/5, which is the solution to the equation.