Solve for x.

Question

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

160 1/2

62

159 1/2

63

Answer 1

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.