Question

2/3x - 5 = 27

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation, we need to isolate the variable on one side of the equation. Here's how we can do it:

2/3x - 5 = 27

First, let's add 5 to both sides of the equation:

2/3x - 5 + 5 = 27 + 5

This simplifies to:

2/3x = 32

Next, let's multiply both sides of the equation by the reciprocal of 2/3, which is 3/2 (meaning we multiply both sides by 3/2):

(2/3x) * (3/2) = 32 * (3/2)

The left side simplifies to:

(2/3)*(3/2)x = (6/6)x = x

And the right side simplifies to:

32 * (3/2) = 96/2 = 48

So the equation becomes:

x = 48

Therefore, the solution to the equation is x = 48.

Answer 2

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

To solve the equation 2/3x - 5 = 27, we can follow these steps:

Step 1: Add 5 to both sides of the equation to isolate the variable:
2/3x - 5 + 5 = 27 + 5
2/3x = 32

Step 2: Multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3x) * (3/2) = 32 * (3/2)
(x/1) * (3/2) = 96/2
3x/2 = 48

Step 3: Multiply both sides of the equation by the reciprocal of 3/2, which is 2/3:
(3x/2) * (2/3) = 48 * (2/3)
(x/1) * (2/3) = 96/3
2x/3 = 32

Step 4: Multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2x/3) * (3/2) = 32 * (3/2)
(x/1) * (3/2) = 96/2
3x/2 = 48

Step 5: Multiply both sides of the equation by the reciprocal of 3/2, which is 2/3:
(3x/2) * (2/3) = 48 * (2/3)
(x/1) * (2/3) = 96/3
2x/3 = 32

Step 6: Multiply both sides of the equation by 3/2 to solve for x:
(2x/3) * (3/2) = 32 * (3/2)
x/1 = 96/2
x = 48

Therefore, the solution to the equation 2/3x - 5 = 27 is x = 48.

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation 2/3x - 5 = 27, we need to isolate the variable x. Here's the step-by-step process:

Step 1: Add 5 to both sides of the equation to eliminate the constant term -5:
2/3x - 5 + 5 = 27 + 5
2/3x = 32

Step 2: To isolate the variable x, we need to get rid of the coefficient 2/3. Multiply both sides of the equation by the reciprocal (or multiplicative inverse) of 2/3, which is 3/2. Multiplying the equation by 3/2 will cancel out the coefficient 2/3 on the left side:
(3/2) * (2/3)x = (3/2) * 32
(3/2)(2/3)x = 48

Step 3: Simplify the equation:
1x = 48

Step 4: Since 1x is equivalent to just x, the equation can be simplified further:
x = 48

Therefore, the solution to the equation 2/3x - 5 = 27 is x = 48.