Solve for x. 5/8(x+1/2)=100

To solve for x, we need to isolate x on one side of the equation.

First, let's simplify the left side of the equation by multiplying both sides by 8/5 to eliminate the fraction:

(8/5)(5/8)(x+1/2) = (8/5)(100)
x + 1/2 = 160

Next, subtract 1/2 from both sides to isolate x:

x = 160 - 1/2
x = 159.5

Therefore, x = 159.5 is the solution.