Question

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



2x−5=3(4x+5)

Answer 1

on step 2 I do not have the option to put -5 = 10x + 15 my options are

2x = 12x + 20

2x = 12x + 10

2x = 3x + 10

2x = 3x + 20

Answer 2

on step 3 I do not have the option -20x = 10 my option are

-1x = 10

-10x =20

-10x = 10

14x = 20

Answer 3

so what is the overall explantion and answer in 4 steps

Answer 4

i got all them wrong

Answer 5

1. Start by distributing the 3 to the terms inside the parentheses:
2x - 5 = 12x + 15

2. Simplify the equation by combining like terms:
-5 = 10x + 15

3. Move the constant term to the other side of the equation by subtracting 15 from both sides:
-20 = 10x

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

Answer 6

I apologize for the confusion. Based on your options, the correct step 2 is:

2x = 12x + 20

Answer 7

I apologize for the confusion once again. Based on your options, the correct step 3 is:

-10x = 20

Answer 8

Apologies for the previous incorrect steps. Here are the correct steps for solving the equation 2x - 5 = 3(4x + 5):

1. Start by distributing the 3 to the terms inside the parentheses:
2x - 5 = 12x + 15

2. Simplify the equation by combining like terms:
2x - 12x = 15 + 5

-10x = 20

3. Divide both sides of the equation by -10 to solve for x:
x = 20 / -10

x = -2

4. The solution to the given equation is x = -2.

Answer 9

Apologies for the confusion. Here are the correct steps for solving the equation 2x - 5 = 3(4x + 5):

1. Start by distributing the 3 to the terms inside the parentheses:
2x - 5 = 12x + 15

2. Simplify the equation by combining like terms:
-10x - 5 = 15

3. Move the constant term to the other side of the equation by adding 5 to both sides:
-10x = 15 + 5

-10x = 20

4. Divide both sides by -10 to solve for x:
x = 20 / -10

x = -2

The solution to the given equation is x = -2. I apologize for the previous incorrect steps.