To solve the equation [tex]\( 2(x + 5) = 8 \)[/tex]:
1. Identify the given equation:
[tex]\[ 2(x + 5) = 8 \][/tex]
2. Use a property to simplify the left side of the equation:
- You need to apply a property to remove the parentheses and simplify the expression.
- Multiply each term inside the parentheses by 2.
This involves using the distributive property.
The distributive property states that:
[tex]\[ a(b + c) = ab + ac \][/tex]
Apply this to the equation:
[tex]\[ 2(x + 5) = 2 \cdot x + 2 \cdot 5 = 2x + 10 \][/tex]
So, the first step involves:
[tex]\[ 2(x + 5) = 2x + 10 \][/tex]
This shows that the property used in the first step is the distributive property.
