Solve for x. 5/8(x+1/2)=100 (1 point) Responses 160 1/2 160 62 62 159 1/2 63

Answer 1

To solve for x, we can start by multiplying both sides of the equation by 8:

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

This simplifies to:

5(x+1/2) = 800

Distributing 5 to (x+1/2):

5x + 5/2 = 800

Next, we can subtract 5/2 from both sides:

5x = 800 - 5/2

Now, we can use a common denominator to combine the terms on the right side:

5x = (1600 - 5)/2

5x = 1595/2

Finally, to isolate x, we can divide both sides by 5:

x = (1595/2)/5

Simplifying the right side:

x = 1595/10

Thus, the solution for x is 159 1/2.