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

To solve the equation 5/8 (x - 1/2) = 10, the first step is to distribute 5/8 to the terms inside the parentheses:

5/8 (x - 1/2) = 10
(5/8)(x) - (5/8)(1/2) = 10
5/8 x - 5/16 = 10

After distributing, the next step is to reverse the multiplication by dividing both sides of the equation by 5/8.

So, both sides should be divided by 5/8.

To reverse the multiplication in the equation "5/8 (x - 1/2) = 10", you need to divide both sides by the coefficient of the term being multiplied. In this case, the coefficient is 5/8.

Therefore, to isolate the variable x, both sides of the equation should be divided by 5/8.

To reverse the multiplication in the equation 5/8 (x - 1/2) = 10, we need to divide both sides of the equation by the coefficient of the variable term, which is 5/8.

To divide both sides by 5/8, we can multiply both sides of the equation by the reciprocal of 5/8, which is 8/5.

So, dividing both sides by 5/8 is equivalent to multiplying both sides by 8/5.

Let's perform the calculation:

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

Multiplying both sides of the equation by 8/5:

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

On the left-hand side, the (8/5) terms cancel out:

[(5/8) * (x - 1/2)] * (8/5) = x - 1/2

So, the equation becomes:

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

Now, we can simplify the right-hand side:

x - 1/2 = 80/5

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

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

On the left-hand side, the (1/2) terms cancel out:

x = 80/5 + 1/2

To add the fractions, we need to find a common denominator, which is 10:

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

Rewriting 1/2 as an equivalent fraction with a denominator of 10:

x = 80/5 + 2/10

Now, all the fractions have the same denominator, so we can add them:

x = (80 + 2) / 5

x = 82/5

Therefore, the solution to the equation 5/8 (x - 1/2) = 10 is x = 82/5.

To solve the equation 4.27( 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 ?