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

Question

2
x
−
5
=
3
(
4
x
+
5
)



(8 points)
2x−5=3(4x+5)
2
x
−
5
=
3
(
4
x
+
5
)

Step 1: Property to get

Step 2: Property to get

Step 3: Property to get

Step 4: Property to get

Answer 1

Step 1: Distributive Property to get rid of the parentheses:

2x - 5 = 12x + 15

Step 2: Combine like terms by subtracting 12x from both sides:

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

-10x - 5 = 15

Step 3: Add 5 to both sides:

-10x - 5 + 5 = 15 + 5

-10x = 20

Step 4: Divide both sides by -10:

(-10x) / -10 = 20 / -10

x = -2

Answer 2

Check again

Answer 3

Apologies for the mistake. Let's recheck the steps:

Step 1: Distributive Property to get rid of the parentheses:

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

Step 2: Simplify the expression on the right side:

2x - 5 = 12x + 15

Step 3: Combine like terms by subtracting 12x from both sides:

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

-10x - 5 = 15

Step 4: Add 5 to both sides:

-10x - 5 + 5 = 15 + 5

-10x = 20

Step 5: Divide both sides by -10:

(-10x) / -10 = 20 / -10

x = -2

So, the correct ordering of steps is:

Step 1: Distributive Property
Step 2: Simplify the expression
Step 3: Combine like terms
Step 4: Add 5 to both sides
Step 5: Divide both sides by -10

Answer 4

How do you do it in four steps?

Answer 5

Apologies for the confusion. Here is the solution in four steps:

Step 1: Distribute the 3 to the terms inside the parentheses:

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

This simplifies to:

2x - 5 = 12x + 15

Step 2: Group the x terms and constant terms separately:

2x - 12x = 15 + 5

This simplifies to:

-10x = 20

Step 3: Divide both sides by -10:

-10x / -10 = 20 / -10

This simplifies to:

x = -2

Step 4: Final solution:

The solution to the equation is x = -2.

So, the four steps are:

Step 1: Distribute the 3
Step 2: Group like terms
Step 3: Divide both sides by -10
Step 4: Final solution

Answer 6

bob is this correct?