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?
To solve the equation 5/8((x-1)/2) = 10, the first step is to distribute the 5/8 to the terms inside the parentheses.
This gives us (5/8) * (x/2) - (5/8) * (1/2) = 10.
Simplifying further, we get (5x/16) - 5/16 = 10.
To isolate the variable x, we can move the constant term (-5/16) to the other side of the equation by adding 5/16 to both sides.
This gives us (5x/16) = 10 + 5/16.
Now, to solve for x, we can multiply both sides of the equation by the reciprocal of 5/16, which is 16/5.
Dividing both sides by (5/16), we get (5x/16) * (16/5) = (10 + 5/16) * (16/5).
Canceling out the common factors, we are left with x = (10 + 5/16) * (16/5).
Therefore, to solve the equation, both sides should be divided by (5/16).