Is this correct

Question

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


(8 points)
2x−5=3(4x+5)
Step 1:
Distributive
Property to get
2x - 5 = 12x + 15


Step 2:
Combine Like Terms
Property to get
2x = 12x + 20

Step 3:
Division of Equality
Property to get
-10x = 20

Step 4:
Addition of Equality
Property to get
x = -2

Answer 1

No, the steps provided are incorrect. Let's correct them:

Step 1: Distribute the 3 on the right side to get 2x - 5 = 12x + 15.

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

Step 3: Move the constant term (-5) to the right side by adding 5 to both sides to get -10x = 20.

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

So the corrected steps are:

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

Step 2: Combine like terms to get -10x - 5 = 15.

Step 3: Move the constant term to the right side to get -10x = 20.

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

Answer 2

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 3

To correctly order the steps for solving the equation 2x - 5 = 3(4x + 5), let's go through the solving process:

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

Step 2: Move all the x terms to one side and the constant terms to the other side. In this case, subtract 12x from both sides to get 2x - 12x - 5 = 12x - 12x + 15. Simplify it to -10x - 5 = 15.

Step 3: Move the constant term (-5) to the other side by adding 5 to both sides to get -10x = 20.

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

So the correct order for solving the equation is:

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

Step 2: Combine like terms to get -10x - 5 = 15.

Step 3: Move the constant term to the other side to get -10x = 20.

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