Solve the equation the 5\8 (x-1\2) =10 first step is to reverse the multiplication what number should both sides be divided by

Answer 1

To reverse the multiplication in the equation:

5/8 (x-1/2) = 10

We should multiply both sides by the reciprocal of 5/8, which is 8/5.

By doing so, we get:

(8/5) * (5/8) (x-1/2) = (8/5) * 10

Simplifying this:

1(x-1/2) = 16

Which gives us:

x - 1/2 = 16

Now, to solve for x, we need to isolate it by adding 1/2 to both sides:

x - 1/2 + 1/2 = 16 + 1/2

This simplifies to:

x = 16 + 1/2

Therefore, the solution to the equation is:

x = 16.5