To solve the equation 5/8(x−1/2)=10 , the first step is to reverse the multiplication. What number should both sides be divided by?(1 point)

Both sides of the equation should be divided by 5/8 in order to solve for x.

To reverse the multiplication in the equation 5/8(x−1/2) = 10, we need to divide both sides of the equation by the coefficient of x, which is 5/8. Therefore, both sides should be divided by 5/8.

To solve the equation 5/8(x−1/2)=10, the first step is to reverse the multiplication by dividing both sides of the equation by the coefficient of the variable.

In this case, the coefficient of the variable x is 5/8. To reverse the multiplication, we should divide both sides of the equation by 5/8.

Dividing both sides by 5/8 can be done by multiplying both sides by the reciprocal of 5/8, which is 8/5:

(5/8)(x−1/2) * (8/5) = 10 * (8/5)

On the left side of the equation, the (5/8) and (8/5) fractions cancel each other out, leaving us with:

x − 1/2 = (10 * 8)/5

Simplifying further, (10 * 8)/5 is equal to 80/5, which can be simplified to 16.

So, we have:

x − 1/2 = 16

Now, to isolate the variable x, we add 1/2 to both sides of the equation:

x − 1/2 + 1/2 = 16 + 1/2

The 1/2 and -1/2 on the left side of the equation cancel each other out, leaving us with:

x = 16 + 1/2

Which simplifies to:

x = 16 1/2

Therefore, to solve the equation 5/8(x−1/2)=10, the number both sides should be divided by is 5/8, and the final solution for x is 16 1/2.