Solve the equation justifying with the correct reasoning: 2(x+8)=2x +8
:: Distributive
# Combine like terms
* Subtraction Property of Equality
:: Multiplication Property of Equality
:: Division Property of Equality
• Infinite
:: 2x + 8 = 2x + 8
:: 2x + 8 = 2x
8: 2z + 24 =22
1: 8 = -8
:: Addition Property of Equality
*: No
:: One
:: 22+ 16= 22+8
# x = -8
" x =8
To solve the equation 2(x+8)=2x +8, we can follow these steps:
1. Distribute the 2 to both terms inside the parentheses: 2x + 16 = 2x + 8
2. Combine like terms: 2x + 16 = 2x + 8
3. Subtract 2x from both sides to isolate the constant term: 16 = 8
4. This equation is not possible since 16 is not equal to 8.
Therefore, there is no solution to the equation 2(x+8)=2x +8.