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

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

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.