Question

To solve the equation 5/8 parentheses X -1/2 parentheses equals 10 the first step to reserve the multiplication what number


should both sides be divided by

Answer 1

To simplify the equation 5/8(X - 1/2) = 10, you should first distribute the 5/8 to the terms inside the parentheses:

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

The next step would be to simplify the expression by multiplying the fractions:

(5/8) * X - (5/16) = 10

Now, you can isolate the variable by moving the constant term (in this case, -5/16) to the other side. To do that, you should add 5/16 to both sides of the equation:

(5/8) * X - (5/16) + (5/16) = 10 + (5/16)

Simplifying both sides, you get:

(5/8) * X = (160/16) + (5/16)

Combining the fractions on the right side:

(5/8) * X = (165/16)

Finally, to solve for X, you need to divide both sides of the equation by 5/8, which is equivalent to multiplying both sides by the reciprocal of 5/8 (8/5):

(8/5) * ((5/8) * X) = (8/5) * (165/16)

Simplifying, you have:

X = (8/5) * (165/16)