To solve for x, we'll begin by simplifying both sides of the equation.
First, let's distribute 5/8 to (x + 1/2) on the left side:
5/8 (x + 1/2) = 100
(5/8) * x + (5/8) * (1/2) = 100
(5/8) * x + 5/16 = 100
To isolate x, we'll subtract 5/16 from both sides:
(5/8) * x + 5/16 - 5/16 = 100 - 5/16
(5/8) * x = 1601/16
To get x alone, we'll multiply both sides by the reciprocal of 5/8, which is 8/5:
((5/8) * x) * (8/5) = (1601/16) * (8/5)
x = 12808/80
Now, let's simplify x:
x = 1601/5
Therefore, x = 1601/5 is the solution.
5/8 (x + 1/2) = 100 Solve for x
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