2/5 (10x + 15) = 26

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.

no

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.

still not right

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.