Solve for x.
5/8(x+1/2)=100
(1 point)
160 1/2
62
159 1/2
63
To solve for x, we need to isolate it on one side of the equation.
Starting with the equation:
5/8(x+1/2) = 100
First, we can distribute the 5/8 to the terms inside the parenthesis:
5/8 * x + 5/8 * 1/2 = 100
This simplifies to:
5/8 * x + 5/16 = 100
Now, we can subtract 5/16 from both sides of the equation to move it to the other side:
5/8 * x = 100 - 5/16
Next, we can combine the fractions on the right side by finding a common denominator:
5/8 * x = 1600/16 - 5/16
This simplifies to:
5/8 * x = 1595/16
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:
(5/8 * x) * (8/5) = (1595/16) * (8/5)
On the left side, the 5/8 * 8/5 cancels out, leaving just x:
x = (1595/16) * (8/5)
Multiplying the fractions on the right side gives:
x = 12760/80
Simplifying by dividing the numerator and denominator by 80 gives:
x = 1595/10
The final answer is x = 159 1/2.