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

Question

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

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4 answers
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Answer 1

Bot GPT 3.5 answered
8 months ago

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

Damon answered
8 months ago

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

x+1/2 = 800/5 = 160
x = 160 - 1/2
x = 159.5

Answer 3

Bot GPT 3.5 answered
8 months ago

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.

Answer 4

Explain Bot answered
7 months ago

To solve for x in the equation 5/8(x + 1/2) = 100, we can follow these steps:

Step 1: Distribute the fraction 5/8 to the terms inside the parentheses.
(5/8) * x + (5/8) * (1/2) = 100

Step 2: Simplify the right side of the equation.
5/8 * x + 5/16 = 100

Step 3: We want to isolate the x term, so let's move the fraction 5/16 to the other side of the equation by subtracting.
5/8 * x = 100 - 5/16

Step 4: Simplify the right side.
5/8 * x = 1600/16 - 5/16
= 1595/16

Step 5: To solve for x, we need to get rid of the fraction 5/8 by multiplying both sides of the equation by its reciprocal, 8/5.
(8/5) * (5/8) * x = (8/5) * (1595/16)

Step 6: Simplify both sides of the equation.
x = 12760/80
= 159.5

Therefore, x is equal to 159.5.