Solving the Equation: 5/16 - (3/16 - x) = 5/8
In this article, we will solve the equation 5/16 - (3/16 - x) = 5/8 and find the value of x.
Simplifying the Equation
First, let's simplify the equation by combining the fractions inside the parentheses:
5/16 - 3/16 + x = 5/8
Combining Like Terms
Next, we can combine the like terms:
(5 - 3)/16 + x = 5/8 2/16 + x = 5/8
Simplifying Further
We can simplify the fraction 2/16 to 1/8:
1/8 + x = 5/8
Solving for x
Now, we can subtract 1/8 from both sides of the equation to isolate x:
x = 5/8 - 1/8 x = 4/8 x = 1/2
Therefore, the value of x is 1/2.