What is the solution of the equation 5 over 2x = −1 over 8 ?
To find the solution of the equation, multiply both sides of the equation by the common denominator, which is 8 * 2x:
8 * 2x * 5/2x = -1 * 8 * 2x/8
Simplifying both sides gives:
20 = -2x
Dividing both sides by -2 gives:
x = -10
To solve the equation 5/(2x) = -1/8, we can cross-multiply.
First, multiply both sides of the equation by 8 to eliminate the fraction on the right side:
8 * (5/(2x)) = 8 * (-1/8)
This simplifies to:
40/(2x) = -1
Next, cross-multiply to eliminate the fraction on the left side:
40 = -1 * (2x)
This becomes:
40 = -2x
To solve for x, divide both sides of the equation by -2:
40 / -2 = x
x = -20
Therefore, the solution to the equation 5/(2x) = -1/8 is x = -20.
To find the solution to the equation, we can start by simplifying it:
5 / (2x) = -1 / 8
To eliminate the fractions, we can cross multiply:
(5 * 8) = (2x * -1)
40 = -2x
Next, we can solve for x by dividing both sides of the equation by -2:
40 / -2 = x
-20 = x
Therefore, the solution to the equation is x = -20.