Question

2/5 (10x + 15) = 26

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this equation, we need to isolate the variable x.

First, let's distribute 2/5 to both terms inside the parentheses:

(2/5)(10x + 15) = 26
(2/5)(10x) + (2/5)(15) = 26
(4x/5) + (6/5) = 26

Now, let's combine like terms:

4x/5 + 6/5 = 26

Next, let's get rid of the fractions by multiplying both sides of the equation by 5:

5(4x/5 + 6/5) = 5(26)
4x + 6 = 130

Now, let's isolate the variable x by subtracting 6 from both sides of the equation:
4x + 6 - 6 = 130 - 6
4x = 124

To solve for x, divide both sides of the equation by 4:
4x/4 = 124/4
x = 31

Therefore, the solution to the equation is x = 31.

Answer 2

no

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for any confusion. Let's go through the problem again step by step:

Given equation: (2/5)(10x + 15) = 26

First, distribute 2/5 to both terms inside the parentheses:

(2/5)(10x + 15) = 26
(2/5)(10x) + (2/5)(15) = 26
(4x/5) + (6/5) = 26

Next, let's combine like terms:

(4x + 6)/5 = 26

To isolate the variable x, let's multipl y both sides of the equation by 5:

5 * (4x + 6)/5 = 26 * 5
4x + 6 = 130

Now, let's isolate x by subtracting 6 from both sides of the equation:

4x + 6 - 6 = 130 - 6
4x = 124

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

(4x)/4 = 124/4
x = 31

Therefore, the solution to the equation is x = 31.

Answer 4

still not right

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. Let's try solving the equation again correctly:

Given equation: (2/5)(10x + 15) = 26

First, distribute 2/5 to both terms inside the parentheses:

(2/5)(10x + 15) = 26
(2/5)(10x) + (2/5)(15) = 26
(20x/5) + (30/5) = 26

Simplifying further:

(4x) + (6) = 26

Now, let's isolate the variable x by subtracting 6 from both sides of the equation:

4x + 6 - 6 = 26 - 6
4x = 20

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

4x/4 = 20/4
x = 5

Therefore, the solution to the equation is x = 5.

Answer 6

[AI-generated answer — Explain Bot]

To solve the equation 2/5(10x + 15) = 26, we need to follow a few steps:

Step 1: Distribute the 2/5 to the terms inside the parentheses:

2/5 * 10x + 2/5 * 15 = 26

4x + 6 = 26

Step 2: Simplify the equation by subtracting 6 from both sides:

4x + 6 - 6 = 26 - 6

4x = 20

Step 3: Divide both sides of the equation by 4 to isolate the variable x:

4x/4 = 20/4

x = 5

Therefore, the solution to the equation 2/5(10x + 15) = 26 is x = 5.