Solve for x. 5/8(x+1/2)=100

Answer 1

To solve for x in the equation 5/8(x+1/2) = 100, we can begin by multiplying both sides of the equation by 8 to eliminate the fraction:

8 * (5/8(x+1/2)) = 8 * 100
5(x+1/2) = 800

Next, we can distribute the 5 on the left side by multiplying it with both the terms inside the parentheses:

5x + 5/2 = 800

To isolate x, we can subtract 5/2 from both sides of the equation:

5x + 5/2 - 5/2 = 800 - 5/2
5x = 800 - 5/2

To simplify the equation further, we can convert 800 to a fraction with a common denominator of 2:

5x = 1600/2 - 5/2
5x = (1600 - 5)/2
5x = 1595/2

Finally, to solve for x, we can divide both sides of the equation by 5:

(5x)/5 = (1595/2)/5
x = 319/2

Therefore, x = 319/2.

Answer 2

5/8(x+1/2)=100
x+1/2 = 800/5 = 160
x = 160 - 1/2
x = 159.5

Answer 3

Apologies for the previous error, the correct solution is as follows:

To solve for x in the equation 5/8(x+1/2) = 100, we can begin by multiplying both sides of the equation by 8/5 to eliminate the fraction:

(8/5) * (5/8)(x+1/2) = (8/5) * 100
x + 1/2 = 160

Next, we can subtract 1/2 from both sides of the equation:

x + 1/2 - 1/2 = 160 - 1/2
x = 159.5

Therefore, x = 159.5.