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

1 answer

To solve the equation, the first step is to simplify the expression on the left side of the equation before solving for x.

The given equation is: 5/8((x)−1/2) = 10

To simplify the expression on the left side, we need to multiply the fraction 5/8 with the expression (x-1/2).

Therefore, the expression becomes: 5/8 * (x-1/2) = 10

Now, to reverse the multiplication, we need to divide both sides of the equation by the same number. In this case, we need to divide both sides by 5/8:

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

On the left side, the multiplication of (5/8) and [(x-1/2) / (5/8)] cancels out, leaving us with:

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

To simplify the expression on the right side, we need to divide 10 by (5/8):

10 / (5/8) = 10 * (8/5) = 80/5 = 16

Therefore, the equation becomes:

(x-1/2) = 16

At this point, we have simplified the equation and can proceed with solving for x.