Solve for x .

11/4x+9=31 (1 point)
Responses

x=110
x equals 110

x=−8
x equals negative 8

x=22
x equals 22

x=8

1 answer

To solve the equation, we will first isolate the x variable on one side of the equation.

We start by subtracting 9 from both sides of the equation:

11/(4x) + 9 - 9 = 31 - 9

This simplifies to:

11/(4x) = 22

Next, we can multiply both sides of the equation by 4x to eliminate the denominator:

(4x) * (11/(4x)) = 22 * (4x)

This simplifies to:

11 = 88x

Finally, we divide both sides of the equation by 88 to solve for x:

11/88 = (88x)/88

This simplifies to:

1/8 = x

Therefore, x = 1/8