Question

What number should both sides be divided by?

5/8(x - 1/2) = 10

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation 5/8(x - 1/2) = 10, we need to isolate the variable x.

The next step is to multiply both sides of the equation by the reciprocal of 5/8, which is 8/5.

So, the equation becomes:

(8/5)(5/8)(x - 1/2) = (8/5)(10)

Simplifying the equation, we have:

(x - 1/2) = 16

Finally, we can solve for x by adding 1/2 to both sides:

(x - 1/2) + 1/2 = 16 + 1/2

This gives:

x = 16 + 1/2

Therefore, x = 33/2 or x = 16.5.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the equation 5/8(x - 1/2) = 10, we need to isolate the variable x. To do this, we can start by multiplying both sides of the equation by the reciprocal of the coefficient of x. In this case, the coefficient of x is 5/8, so we will multiply both sides by 8/5.

So, the equation becomes:
(8/5) * (5/8)(x - 1/2) = (8/5) * 10

Simplifying the expression on the left side:
(x - 1/2) = (8/5) * 10

Next, we can simplify the expression on the right side:
(x - 1/2) = 80/5

Simplifying further:
(x - 1/2) = 16

Now, we can isolate x by adding 1/2 to both sides of the equation:
(x - 1/2) + 1/2 = 16 + 1/2

Simplifying:
x = 16 + 1/2

Performing the addition:
x = 16 + 1/2 = 16 1/2

Therefore, the solution to the equation is x = 16 1/2.

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation 5/8(x - 1/2) = 10, you need to isolate the variable x.

First, you want to get rid of the fraction on the left side of the equation. To do this, you can multiply both sides of the equation by the reciprocal of the fraction, which is 8/5. This way, the fraction will cancel out on the left side, leaving you with:

8/5 * 5/8(x - 1/2) = 8/5 * 10

Simplifying, you have:

1(x - 1/2) = 16

Next, you can distribute 1 to the terms inside the parentheses:

x - 1/2 = 16

Now, you want to isolate the x term by getting rid of the -1/2 on the left side of the equation. To do this, you can add 1/2 to both sides:

x - 1/2 + 1/2 = 16 + 1/2

Simplifying, you have:

x = 16 + 1/2

Now, you just need to find the sum of 16 and 1/2. To do this, you can convert the mixed fraction 1/2 into an improper fraction:

x = 16 + 1/2 = 16 + (2/2)(1/2) = 16 + 2/2 = 16 + 2/2 = 16 + 1 = 17

Therefore, the solution to the equation 5/8(x - 1/2) = 10 is x = 17.

Answer 4

WHAT NUMBER SHOULD BOTH SIDES BE DVIDED BY NOT THE ANSWER TO X

Answer 5

[AI-generated answer — Bot GPT 3.5]

To isolate the variable x in the equation 5/8(x - 1/2) = 10, we can start by dividing both sides of the equation by 5/8.

This gives us:
[(5/8)(x - 1/2)] / (5/8) = 10 / (5/8)

When dividing by a fraction, we can multiply by the reciprocal of that fraction.

So, the equation becomes:
[x - 1/2] * (8/5) = 10 * (8/5)

Simplifying the expression, we have:
8/5 * (x - 1/2) = 80/5

Now, let's distribute 8/5 to the terms inside the parentheses:
8/5 * x - 8/5 * 1/2 = 80/5

Simplifying further, we get:
(8x/5) - (4/5) = 16

So, dividing both sides of the equation by 8/5 is the step to isolate the variable x.

Answer 6

WHAT IS ONE NUMBER YOU DIVIDE BOTH SIIDES WITH

Answer 7

[AI-generated answer — Bot GPT 3.5]

To isolate the variable x in the equation 5/8(x - 1/2) = 10, we can divide both sides by the coefficient of x, which is 5/8.

Dividing both sides by 5/8, we get:

(5/8(x - 1/2)) / (5/8) = 10 / (5/8)

Simplifying, we have:

x - 1/2 = 10 / (5/8)

Next, we can simplify the expression on the right side:

x - 1/2 = 10 * (8/5)

Simplifying further, we have:

x - 1/2 = 80/5

Finally, to isolate x, we can add 1/2 to both sides of the equation:

(x - 1/2) + 1/2 = (80/5) + 1/2

Simplifying, we get:

x = 80/5 + 1/2

Therefore, the number we divide both sides by in this equation is 5/8.

Answer 8

A NUMBER NOT A FRACTION A NUMBER

Answer 9

[AI-generated answer — Bot GPT 3.5]

To isolate the variable x in the equation 5/8(x - 1/2) = 10, we can divide both sides of the equation by 5/8.

Dividing both sides by 5/8 is equivalent to multiplying both sides by the reciprocal of 5/8, which is 8/5.

So, multiplying both sides by 8/5, we get:

(8/5) * (5/8)(x - 1/2) = (8/5) * 10

Simplifying, we have:

x - 1/2 = (8/5) * 10

To simplify further, we can multiply 8/5 by 10:

x - 1/2 = (8/5) * 10 = 80/5

Now, to isolate x, we can add 1/2 to both sides of the equation:

(x - 1/2) + 1/2 = 80/5 + 1/2

Simplifying, we get:

x = 80/5 + 1/2

Therefore, the number we divide both sides by in this equation is 5/8.