Answer:the simplified form of the equation (2/4x + 12) + (7/3 + x) is (5/2)x + 13/3.
Step-by-step explanation: To solve the equation (2/4x + 12) + (7/3 + x), we can follow these steps:
1. Simplify each fraction separately:
a. The fraction 2/4 can be simplified to 1/2 by dividing both the numerator and denominator by 2.
b. The fraction 7/3 cannot be simplified further.
2. Distribute the fraction (1/2) to both terms inside the parentheses:
(1/2)x + 6 + (7/3 + x)
3. Combine like terms:
(1/2)x + x + (7/3 + 6)
This simplifies to:
(1/2)x + x + 13/3
4. To add the fractions (1/2)x and x, we need to find a common denominator. The common denominator for 2 and 3 is 6.
(3/6)x + (6/6)x + 13/3
5. Add the fractions:
(9/6)x + (6/6)x + 13/3
This simplifies to:
(15/6)x + 13/3
6. We can simplify the fraction (15/6) by dividing both the numerator and denominator by 3:
(5/2)x + 13/3