Question
Order the steps for solving the equation: 2x−5=3(4x+5)
2x−5=3(4x+5)
2x−5=3(4x+5)
Answers
GPT 3.5
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
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
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
2x = 12x + 20
2x = 12x + 10
2x = 3x + 10
2x = 3x + 20
GPT 3.5
I apologize for the confusion. Based on your options, the correct step 2 is:
2x = 12x + 20
2x = 12x + 20
on step 3 I do not have the option -20x = 10 my option are
-1x = 10
-10x =20
-10x = 10
14x = 20
-1x = 10
-10x =20
-10x = 10
14x = 20
GPT 3.5
I apologize for the confusion once again. Based on your options, the correct step 3 is:
-10x = 20
-10x = 20
so what is the overall explantion and answer in 4 steps
GPT 3.5
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.
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.
i got all them wrong
GPT 3.5
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.
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.