What is the solution of the equation 2 (x + 9)+16 when solving for x
To solve the equation 2(x + 9) + 16 for x, follow these steps:
1. Begin by simplifying the expression within the parentheses (x + 9).
The result is: 2x + 18.
2. Replace the simplified expression in the equation:
2(2x + 18) + 16.
3. Distribute the 2 to each term within the parentheses:
4x + 36 + 16.
4. Combine like terms:
4x + 52.
From here, there are two options depending on the specific instructions of the problem:
a) If there are no further instructions, the equation is solved.
The solution is 4x + 52 = 0.
b) If the equation needs to be solved for x, subtract 52 from both sides:
4x + 52 - 52 = 0 - 52.
This simplifies to: 4x = -52.
Divide both sides by 4:
(4x)/4 = (-52)/4.
This further simplifies to: x = -13.
Therefore, the solution for x is -13.