To solve the equation 5/8 * (x - 1/2) = 10 the first stop is to reverse the multiplication What number should both sides be divided by?
Correct answer please
To solve the equation, the first step is not to reverse the multiplication. Instead, you should distribute the multiplication and then proceed to isolate the variable.
Let's solve the equation step by step:
5/8 * (x - 1/2) = 10
First, distribute the multiplication:
5/8 * x - 5/8 * 1/2 = 10
Simplify:
5/8 * x - 5/16 = 10
Next, add 5/16 to both sides to isolate the x term:
5/8 * x = 10 + 5/16
5/8 * x = 160/16 + 5/16
5/8 * x = 165/16
Now, to solve for x, multiply both sides of the equation by the reciprocal of 5/8 (which is 8/5):
(8/5) * (5/8) * x = (8/5) * (165/16)
1 * x = (1320/80) + (165/16)
x = 33/2 + 165/16
x = 264/16 + 165/16
x = 429/16
So the solution to the equation 5/8 * (x - 1/2) = 10 is x = 429/16.