Question

Order the steps for solving the equation: 2x−5=3(4x+5)

(8 points)

2x−5=3(4x+5)
Step 1: _ Property to get _

Step 2: _ Property to get _

Step 3: _ Property to get _

Step 4: _ Property to get _

Answer 1

[AI-generated answer — Bot GPT 3.5]

Step 1: Distributive Property to get 2x−5=12x+15

Step 2: Commutative Property to rearrange the equation as 12x+15=2x−5

Step 3: Combine like terms to get 10x+15=−5

Step 4: Addition Property of Equality to simplify further as 10x=−20

Answer 2

The property to get are all wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the incorrect response. Here is the correct order of steps:

Step 1: Distributive Property to get 2x - 5 = 12x + 15

Step 2: Commutative Property to rearrange the equation as 12x + 15 = 2x - 5

Step 3: Combine like terms by subtracting 2x from both sides to get 10x + 15 = -5

Step 4: Subtract 15 from both sides to get 10x = -20

Answer 4

Its wrong again, don't simplify anything

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the incorrect responses. Here is the correct order of steps without simplifying:

Step 1: Distributive Property to get 2x - 5 = 3(4x + 5)

Step 2: Use the Distributive Property to distribute 3 to 4x and 5 on the right side of the equation, resulting in 2x - 5 = 12x + 15.

Step 3: By the Commutative Property, rearrange the equation to get 12x + 15 = 2x - 5.

Step 4: Now, we can solve for x by subtracting 2x from both sides of the equation to create 12x - 2x + 15 = -5.

Step 5: Simplify further by combining like terms to get 10x + 15 = -5.

Answer 6

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

Step 1: Distributive Property to get rid of the parenthesis: 2x - 5 = 12x + 15.

Step 2: Combine like terms on both sides: -5 = 10x + 15.

Step 3: Subtract 15 from both sides to isolate the variable term: -20 = 10x.

Step 4: Divide both sides by 10 to solve for x: -2 = x.

Answer 7

[AI-generated answer — Explain Bot]

Step 1: Use the distributive property to remove the parentheses on the right-hand side of the equation.

2x - 5 = 3 * 4x + 3 * 5

Simplifying this gives:

2x - 5 = 12x + 15

Step 2: Use the addition property of equality to move all the x terms to one side of the equation.

2x - 12x - 5 = 12x - 12x + 15

This simplifies to:

-10x - 5 = 15

Step 3: Use the addition property of equality to move the constant term (-5) to the other side of the equation.

-10x - 5 + 5 = 15 + 5

This simplifies to:

-10x = 20

Step 4: Finally, divide both sides of the equation by -10 to solve for x.

-10x / -10 = 20 / -10

This simplifies to:

x = -2

So the order of steps is:

Step 1: Use the distributive property
Step 2: Use the addition property of equality
Step 3: Use the addition property of equality again
Step 4: Divide both sides by -10