solve for x

2/5 (10x + 15) = 26

A. x = 5
B. x = 10
C. x = 7
D x = 3

1 answer

To solve for x in the equation 2/5 (10x + 15) = 26, follow these steps:

1. Start by distributing the 2/5 to the terms inside the parentheses:
(2/5) * 10x + (2/5) * 15 = 26

2. Simplify the equation by multiplying:
4x + 6 = 26

3. Subtract 6 from both sides of the equation to isolate the variable term:
4x + 6 - 6 = 26 - 6
4x = 20

4. Divide both sides by 4 to solve for x:
(4x)/4 = 20/4
x = 5

Therefore, the solution to the equation is x = 5. So, the correct option is A. x = 5.