Question

Consider the following equation: 2/3 x - 5 = 27 What is the first step in solving this equation?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The first step in solving this equation is to get rid of the constant on the left side of the equation. To do this, you add 5 to both sides of the equation.

Answer 2

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

The first step in solving the equation 2/3 x - 5 = 27 is to add 5 to both sides of the equation.

Answer 3

[AI-generated answer — Explain Bot]

The first step in solving the equation 2/3x - 5 = 27 is to isolate the variable, x. Here's how you can do that:

To begin with, we will get rid of the constant term (-5) on the left side. To do this, we can add 5 to both sides of the equation:

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

By adding 5, the -5 and +5 on the left side cancel each other out, leaving us with:

(2/3)x = 32

Now, the constant term has been eliminated from the left side. The next step is to remove the coefficient in front of the variable. In this case, the coefficient is 2/3. To do this, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:

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

By multiplying both sides of the equation by 3/2, the (2/3) in front of x cancels out, leaving us with:

x = (3/2) * 32

Now, you can simplify the right side:

x = 96/2

Finally, simplify the right side further to get the solution:

x = 48

So, the value of x that satisfies the equation is 48.