Question
solve the following linear equation. 2 (x + 5) = 32. x=___
Answers
GPT 3.5
To solve the equation 2(x + 5) = 32, we will follow the steps below:
1. Distribute the 2 to both terms inside the parentheses:
2*x + 2*5 = 32
2x + 10 = 32
2. Subtract 10 from both sides of the equation to isolate the variable term:
2x + 10 - 10 = 32 - 10
2x = 22
3. Divide both sides of the equation by 2 to solve for x:
2x/2 = 22/2
x = 11
Therefore, the solution to the equation 2(x + 5) = 32 is x = 11.
1. Distribute the 2 to both terms inside the parentheses:
2*x + 2*5 = 32
2x + 10 = 32
2. Subtract 10 from both sides of the equation to isolate the variable term:
2x + 10 - 10 = 32 - 10
2x = 22
3. Divide both sides of the equation by 2 to solve for x:
2x/2 = 22/2
x = 11
Therefore, the solution to the equation 2(x + 5) = 32 is x = 11.
3 (2x + 5) - = 62
GPT 3.5
There seems to be a typo in the equation you provided. The equation should be 3(2x + 5) = 62, with no "-" sign after the parentheses.
To solve the corrected equation, follow the steps below:
1. Distribute the 3 to both terms inside the parentheses:
3 * 2x + 3 * 5 = 62
6x + 15 = 62
2. Subtract 15 from both sides of the equation to isolate the variable term:
6x + 15 - 15 = 62 - 15
6x = 47
3. Divide both sides of the equation by 6 to solve for x:
6x/6 = 47/6
x = 47/6
So, the solution to the equation 3(2x + 5) = 62 is x = 47/6.
To solve the corrected equation, follow the steps below:
1. Distribute the 3 to both terms inside the parentheses:
3 * 2x + 3 * 5 = 62
6x + 15 = 62
2. Subtract 15 from both sides of the equation to isolate the variable term:
6x + 15 - 15 = 62 - 15
6x = 47
3. Divide both sides of the equation by 6 to solve for x:
6x/6 = 47/6
x = 47/6
So, the solution to the equation 3(2x + 5) = 62 is x = 47/6.
thats wrong
GPT 3.5
I apologize for the mistake in my previous response. Let's solve the equation correctly.
To solve the equation 3 (2x + 5) = 62, we will follow these steps:
1. Distribute the 3 to both terms inside the parentheses:
6x + 15 = 62
2. Subtract 15 from both sides of the equation to isolate the variable term:
6x + 15 - 15 = 62 - 15
6x = 47
3. Divide both sides of the equation by 6 to solve for x:
6x/6 = 47/6
x = 47/6
So, the solution to the equation 3 (2x + 5) = 62 is x = 47/6.
To solve the equation 3 (2x + 5) = 62, we will follow these steps:
1. Distribute the 3 to both terms inside the parentheses:
6x + 15 = 62
2. Subtract 15 from both sides of the equation to isolate the variable term:
6x + 15 - 15 = 62 - 15
6x = 47
3. Divide both sides of the equation by 6 to solve for x:
6x/6 = 47/6
x = 47/6
So, the solution to the equation 3 (2x + 5) = 62 is x = 47/6.
3 (2x + 5) -1 = 62
GPT 3.5
To solve the equation 3(2x + 5) - 1 = 62, we will follow these steps:
1. Distribute the 3 to both terms inside the parentheses:
6x + 15 - 1 = 62
2. Combine like terms:
6x + 14 = 62
3. Subtract 14 from both sides of the equation:
6x + 14 - 14 = 62 - 14
6x = 48
4. Divide both sides of the equation by 6 to solve for x:
6x/6 = 48/6
x = 8
So, the solution to the equation 3(2x + 5) - 1 = 62 is x = 8.
1. Distribute the 3 to both terms inside the parentheses:
6x + 15 - 1 = 62
2. Combine like terms:
6x + 14 = 62
3. Subtract 14 from both sides of the equation:
6x + 14 - 14 = 62 - 14
6x = 48
4. Divide both sides of the equation by 6 to solve for x:
6x/6 = 48/6
x = 8
So, the solution to the equation 3(2x + 5) - 1 = 62 is x = 8.
2y + 5 + 3y - 1 = 74
GPT 3.5
To solve the equation 2y + 5 + 3y - 1 = 74, we will follow these steps:
1. Combine like terms. Add the like terms together on both sides of the equation:
2y + 3y + 5 - 1 = 74
5y + 4 = 74
2. Subtract 4 from both sides of the equation to isolate the variable term:
5y + 4 - 4 = 74 - 4
5y = 70
3. Divide both sides of the equation by 5 to solve for y:
5y/5 = 70/5
y = 14
So, the solution to the equation 2y + 5 + 3y - 1 = 74 is y = 14.
1. Combine like terms. Add the like terms together on both sides of the equation:
2y + 3y + 5 - 1 = 74
5y + 4 = 74
2. Subtract 4 from both sides of the equation to isolate the variable term:
5y + 4 - 4 = 74 - 4
5y = 70
3. Divide both sides of the equation by 5 to solve for y:
5y/5 = 70/5
y = 14
So, the solution to the equation 2y + 5 + 3y - 1 = 74 is y = 14.
-4 (3x + 2) = -68
GPT 3.5
To solve the equation -4(3x + 2) = -68, we need to apply the distributive property. Here are the steps:
1. Distribute -4 to both terms inside the parentheses:
-4 * 3x + (-4) * 2 = -68
-12x - 8 = -68
2. Add 8 to both sides of the equation to isolate the variable term:
-12x - 8 + 8 = -68 + 8
-12x = -60
3. Divide both sides of the equation by -12 to solve for x:
-12x / -12 = -60 / -12
x = 5
Therefore, the solution to the equation -4(3x + 2) = -68 is x = 5.
1. Distribute -4 to both terms inside the parentheses:
-4 * 3x + (-4) * 2 = -68
-12x - 8 = -68
2. Add 8 to both sides of the equation to isolate the variable term:
-12x - 8 + 8 = -68 + 8
-12x = -60
3. Divide both sides of the equation by -12 to solve for x:
-12x / -12 = -60 / -12
x = 5
Therefore, the solution to the equation -4(3x + 2) = -68 is x = 5.