20+2x/5-x For what value of x is the rational expression below equal to zero?

(20+2x)/(5-x) = 2

20+2x = 2(5-x)
20+2x = 10 - 2x
4x = -10
x = -5/2

n the following expression, n is a rational number:

Which expression below is equivalent to this expression?
A.
B.
C.
D.

To find the value of x that makes the rational expression equal to zero, we need to solve the equation 20 + 2x/5 - x = 0.

First, let's simplify the expression by multiplying both sides of the equation by 5 to clear the fraction:

5(20 + 2x/5 - x) = 5(0)
100 + 2x - 5x = 0
100 - 3x = 0

Next, let's isolate the term with x:

-3x = -100

To solve for x, we divide both sides of the equation by -3:

x = -100 / -3

Finally, we simplify the fraction:

x = 100 / 3

Therefore, the value of x that makes the rational expression equal to zero is x = 100 / 3.

To find the value of x for which the rational expression is equal to zero, we need to solve the equation:

20 + (2x/5) - x = 0

First, let's simplify the equation by combining like terms:

(2x/5 - x) + 20 = 0

To combine the terms with x, we'll need a common denominator. In this case, the common denominator is 5:

(2x - 5x)/5 + 20 = 0

Now, simplify the numerator:

(-3x)/5 + 20 = 0

Next, let's eliminate the fraction by multiplying both sides of the equation by 5:

5 * (-3x)/5 + 5 * 20 = 0

This gives us:

-3x + 100 = 0

Now, let's isolate x by subtracting 100 from both sides:

-3x = -100

Finally, divide both sides of the equation by -3 to solve for x:

x = -100 / -3

The value of x for which the rational expression is equal to zero is x = 100/3, which is approximately 33.33.