Question

determine if the following equation is a conditional equation, an identity, or a contradiction.
$4(x + 2) = 8(6 - 2x) + 20x$
answer
\\(\circ\\) conditional
\\(\circ\\) identity
\\(\circ\\) contradiction

Explanation:

Step1: Expand both sides

Left side: $4(x + 2)=4x + 8$
Right side: $8(6 - 2x)+20x = 48-16x + 20x=48 + 4x$

Step2: Simplify and compare

Now the equation is $4x + 8=4x + 48$. Subtract $4x$ from both sides: $8 = 48$, which is false.

Answer:

Contradiction