To solve the equation 5/8(x−12)=10 , the first step is to reverse the multiplication. What number should both sides be divided by?
To reverse the multiplication, we first need to isolate the variable x on one side of the equation.
To do this, we can start by multiplying both sides of the equation by the reciprocal of the fraction 5/8, which is 8/5.
So the equation becomes:
8/5 * (5/8)(x-12) = 8/5 * 10
Simplifying, the equation becomes:
(x-12) = 16
To further isolate x, we can add 12 to both sides of the equation:
(x-12) + 12 = 16 + 12
Simplifying, we get:
x = 28
Therefore, both sides of the equation should be divided by the reciprocal of 5/8, which is 8/5, to solve the equation.