Question

5 - 6x = -7

do reverse P.E.M.D.A.S and explain.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation 5 - 6x = -7 using the reverse order of PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), we need to isolate the x variable.

Starting with the equation:
5 - 6x = -7

Step 1: Move the constant term to the other side of the equation by adding 7 to both sides:
5 - 6x + 7 = 0
12 - 6x = 0

Step 2: Simplify the equation:
-6x + 12 = 0

Step 3: Move the coefficient of x term to the other side of the equation by subtracting 12 from both sides:
-6x = -12

Step 4: Divide both sides of the equation by the coefficient of x (-6) to solve for x:
x = -12 / -6

Step 5: Simplify the expression:
x = 2

Therefore, the solution to the equation 5 - 6x = -7 using the reverse order of PEMDAS is x = 2.

Answer 2

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

To solve the equation 5 - 6x = -7, we'll follow the reverse order of operations, also known as reverse PEMDAS.

1. Reverse Parentheses: There are no parentheses in this equation, so we can move on to the next step.

2. Reverse Exponents: Similarly, there are no exponents in the equation, so we move on.

3. Reverse Multiplication and Division: In this equation, we have -6x, which means we need to undo the multiplication by dividing both sides of the equation by -6.

By dividing both sides by -6, we get:

(5 - 6x) / -6 = (-7) / -6

Simplifying further, we have:

(5 / -6) - (6x / -6) = (-7) / -6

Simplifying the fractions gives us:

-5/6 + x = 7/6

4. Reverse Addition and Subtraction: Now, we need to undo the addition of -5/6 by adding 5/6 to both sides of the equation.

-5/6 + x + 5/6 = 7/6 + 5/6

Simplifying further, we have:

x = 12/6

5. Simplify: Finally, we simplify the fraction by dividing both the numerator and the denominator by their highest common divisor, which is 6.

x = 2

So, the solution to the equation 5 - 6x = -7 is x = 2.

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation 5 - 6x = -7 using reverse P.E.M.D.A.S, we follow these steps:

Step 1: Move variable terms to one side of the equation.
In this case, we have -6x on the left side. To move it to the right side, we can add 6x to both sides of the equation:
5 - 6x + 6x = -7 + 6x

Simplifying this gives us:
5 = -7 + 6x

Step 2: Move constant terms to the other side of the equation.
We have -7 on the right side. To move it to the left side, we can add 7 to both sides:
5 + 7 = -7 + 7 + 6x

This simplifies to:
12 = 6x

Now, we have isolated the variable x on one side of the equation.

Step 3: Solve for the variable.
To solve for x, we need to isolate it on one side. In this case, we can divide both sides of the equation by 6:
12/6 = (6x)/6

Simplifying further:
2 = x

So, the solution to the equation 5 - 6x = -7 is x = 2.