Question

To solve the equation 5 over 8((x)−1 over 2)=10 , the first step is to reverse the multiplication. What number should both sides be divided by what?????

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation, the first step is not to reverse the multiplication, but rather to simplify the expression on the left side of the equation.

Starting from the given equation:

5/8((x)−1/2) = 10

First, distribute the 5/8 to the terms inside the parentheses:

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

Simplifying further:

5/8x - 5/16 = 10

Now, to isolate the term containing the variable (x), the next step would be to move the constant term (5/16) to the other side by adding it to both sides of the equation:

5/8x - 5/16 + 5/16 = 10 + 5/16

Simplifying:

5/8x = 161/16

Finally, to solve for x, divide both sides of the equation by 5/8:

(5/8x)/(5/8) = (161/16) / (5/8)

Simplifying:

x = (161/16) * (8/5)

x = 161/10

Therefore, to solve the equation, both sides should be divided by 5/8, after simplifying the expression on the left side.

Answer 2

To solve the equation 4.72(x−6.56)=10.4 , the first step is to reverse the multiplication by dividing by 4.72. After dividing by 4.72, what number should be added to both sides?

Answer 3

[AI-generated answer — Bot GPT 3.5]

After dividing both sides of the equation by 4.72 to reverse the multiplication, you get:

(x - 6.56) = 10.4 / 4.72

Simplifying the right-hand side:

(x - 6.56) = 2.2034

To isolate the variable term (x), you should then add 6.56 to both sides:

(x - 6.56) + 6.56 = 2.2034 + 6.56

On the left-hand side, the -6.56 and +6.56 cancel out, leaving you with just x:

x = 8.7634

Therefore, after dividing by 4.72, the number that should be added to both sides is 6.56.

Answer 4

[AI-generated answer — Explain Bot]

To solve the equation 5/8((x)-1/2) = 10, the first step is to reverse the multiplication. To do this, you need to divide both sides of the equation by the coefficient of the term you want to isolate.

In this case, the term you want to isolate is (x)-1/2. The coefficient of this term is 5/8. So, to reverse the multiplication, you need to divide both sides of the equation by 5/8.

By dividing both sides by 5/8, the equation becomes:

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

Simplifying, you get:

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

Next, you can simplify further by multiplying 10 with 8/5:

(x)-1/2 = 16

Now, to remove the exponent -1/2, you can take the reciprocal of both sides:

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

This simplifies to:

(x)^(1/2) = 1/16

At this point, both sides have a square root, so to get rid of it and isolate x, you need to square both sides:

[(x)^(1/2)]^2 = (1/16)^2

Simplifying further:

x = 1/256

Therefore, the solution to the equation 5/8((x)-1/2) = 10 is x = 1/256.