Sure, let's simplify the expression step by step using the distributive property to remove the parentheses.
Given the expression:
[tex]\[ 4(x + 2) - (2x - 8) \][/tex]
First, distribute the 4 in the first term:
[tex]\[ 4(x + 2) \rightarrow 4x + 8 \][/tex]
Next, distribute the negative sign in the second term:
[tex]\[ -(2x - 8) \rightarrow -2x + 8 \][/tex]
Now, rewrite the expression combining these distributed terms:
[tex]\[ 4x + 8 - 2x + 8 \][/tex]
Combine like terms:
[tex]\[ (4x - 2x) + (8 + 8) \][/tex]
[tex]\[ 2x + 16 \][/tex]
So the simplified expression is:
[tex]\[ 4(x + 2) - (2x - 8) = 2x + 16 \][/tex]
