Question

What is the solution of the equation 5/3−2x=1/6 ?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution of the equation 5/3 - 2x = 1/6, we need to solve for x.

First, let's isolate the variable x by subtracting 5/3 from both sides of the equation:
-2x = 1/6 - 5/3
Next, we need to find a common denominator for 1/6 and 5/3, which is 6. So we have:
-2x = 1/6 - 10/6
Now, we can simplify the right side of the equation:
-2x = -9/6
Next, to solve for x, we divide both sides of the equation by -2:
x = (-9/6) / -2
Simplifying the right side of the equation further, we get:
x = 9/12
Therefore, the solution of the equation 5/3 - 2x = 1/6 is x = 9/12 or x = 3/4.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the solution of the equation 5/3 - 2x = 1/6, we can follow these steps:

Step 1: Start by simplifying both sides of the equation. We can do this by finding a common denominator for the fractions involved.

The common denominator for 3 and 6 is 6. So, let's rewrite the equation with the common denominator:

(5/3) - 2x = (1/6)

Multiplying 5/3 by 2/2, we get:

(10/6) - 2x = (1/6)

Step 2: Next, subtract (10/6) from both sides of the equation to isolate the term with x.

-2x = (1/6) - (10/6)

Simplifying the right side, we get:

-2x = (1 - 10)/6
-2x = -9/6

Step 3: Divide both sides of the equation by -2 to solve for x.

Dividing both sides by -2, we get:

x = (-9/6) / -2

Simplifying the right side, we have:

x = (9/6) / 2
x = 9/12

Step 4: Finally, simplify the fraction if possible.

Dividing both the numerator and denominator by the greatest common divisor, which is 3, we get:

x = 3/4

So, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4.

Answer 3

[AI-generated answer — Explain Bot]

To find the solution of the equation 5/3 - 2x = 1/6, we need to isolate the variable x.

Step 1: Start by subtracting 5/3 from both sides of the equation to move it to the other side.
5/3 - 5/3 - 2x = 1/6 - 5/3

Simplifying the left side:
-2x = 1/6 - 5/3

Step 2: To combine the fractions on the right side, we need to find a common denominator. The common denominator for 6 and 3 is 6, so we rewrite the fractions:
-2x = 1/6 - 10/6

Simplifying further:
-2x = -9/6

Step 3: Divide both sides of the equation by -2 to solve for x:
(-2x)/(-2) = (-9/6)/(-2)
x = 9/12

To simplify the fraction 9/12 further, find the greatest common divisor (GCD) of the numerator and denominator, which is 3. Divide both the numerator and denominator by the GCD:
x = (9 ÷ 3) / (12 ÷ 3)
x = 3/4

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4.