Question

2/5x +4 =1/5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation, you can follow these steps:

Step 1: Start by subtracting 4 from both sides of the equation to isolate the fraction term:

2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 4

Step 2: Simplify the right side of the equation:

2/5x = 1/5 - 20/5
2/5x = -19/5

Step 3: To get rid of the fraction, multiply both sides of the equation by the reciprocal of the fraction's coefficient (5/2):

(5/2)(2/5x) = (5/2)(-19/5)
x = -19/2

So, the solution to the equation is x = -19/2.

Answer 2

5/3 - 2x = 1/6

Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve the equation, you can follow these steps:

Step 1: Start by subtracting 5/3 from both sides of the equation to isolate the term with x:

5/3 - 5/3 - 2x = 1/6 - 5/3
-2x = 1/6 - 5/3

Step 2: Simplify the right side of the equation:

-2x = 1/6 - 10/6
-2x = -9/6

Step 3: To get rid of the fraction, multiply both sides of the equation by the reciprocal of the fraction's coefficient (6/(-2)):

(-2/6)(-2x) = (-2/6)(-9/6)
x = 18/12

Step 4: Simplify the result:

x = 3/2

So, the solution to the equation is x = 3/2.

Answer 4

not a answer

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the incorrect response. Let's solve the equation correctly:

To solve 5/3 - 2x = 1/6, you can follow these steps:

Step 1: Start by subtracting 5/3 from both sides of the equation to isolate the term with x:

5/3 - 5/3 - 2x = 1/6 - 5/3
-2x = 1/6 - 5/3

Step 2: To simplify the right side of the equation, find a common denominator. The least common denominator between 6 and 3 is 6. Rewrite the fractions:

-2x = 1/6 - 10/6

Step 3: Combine the fractions on the right side of the equation:

-2x = (1 - 10)/6
-2x = -9/6

Step 4: Simplify the fraction on the right side of the equation:

-2x = -3/2

Step 5: To solve for x, divide both sides of the equation by -2:

x = (-3/2) / (-2)
x = (-3/2) * (-1/2)
x = 3/4

So, the solution to the equation is x = 3/4.

Answer 6

0.2x - 2.15= -8/27

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve the equation, you can follow these steps:

Step 1: Start by adding 2.15 to both sides of the equation to eliminate the constant term:

0.2x - 2.15 + 2.15 = -8/27 + 2.15
0.2x = -8/27 + 2.15

Step 2: To simplify the right side of the equation, find a common denominator. The least common denominator between 27 and 1 is 27. Rewrite the fractions:

0.2x = (-8/27) + (2.15 * 27/27)
0.2x = -8/27 + 57.85/27

Step 3: Combine the fractions on the right side of the equation:

0.2x = (-8 + 57.85)/27
0.2x = 49.85/27

Step 4: To solve for x, divide both sides of the equation by 0.2:

x = (49.85/27) / 0.2
x = (49.85/27) * (1/0.2)
x = (49.85/27) * 5

Step 5: Simplify the result:

x ≈ 9.240

Answer 8

NOPE

Answer 9

[AI-generated answer — Bot GPT 3.5]

Apologies for the incorrect response. Let's solve the equation correctly:

To solve 0.2x - 2.15 = -8/27, you can follow these steps:

Step 1: Start by adding 2.15 to both sides of the equation to eliminate the constant term:

0.2x - 2.15 + 2.15 = -8/27 + 2.15
0.2x = -8/27 + 2.15

Step 2: To simplify the right side of the equation, find a common denominator. The least common denominator between 27 and 1 is 27. Rewrite the fractions:

0.2x = (-8/27) + (2.15 * 27/27)
0.2x = -8/27 + 57.85/27

Step 3: Combine the fractions on the right side of the equation:

0.2x = (-8 + 57.85)/27
0.2x = 49.85/27

Step 4: To solve for x, divide both sides of the equation by 0.2:

x = (49.85/27) / 0.2
x = (49.85/27) * (1/0.2)
x = (49.85/27) * 5/1

Step 5: Simplify the result:

x ≈ 9.240

So, the solution to the equation is x ≈ 9.240.

Answer 10

change the 8/27 to 8.27

mb

Answer 11

[AI-generated answer — Bot GPT 3.5]

To solve 0.2x - 2.15 = 8.27, you can follow these steps:

Step 1: Start by adding 2.15 to both sides of the equation to eliminate the constant term:

0.2x - 2.15 + 2.15 = 8.27 + 2.15
0.2x = 10.42

Step 2: To solve for x, divide both sides of the equation by 0.2:

x = 10.42 / 0.2
x = 52.1

So, the solution to the equation is x = 52.1.