Question

determine if the following equation is a conditional equation, an identity, or a contradiction.\\(8(x + 2) - 3x = -2(x - 8) + 7x\\)\
answer 2 points\
\\(\bigcirc\\) conditional\
\\(\bigcirc\\) identity\
\\(\bigcirc\\) contradiction

Explanation:

Step1: Expand both sides

Left side: \(8(x + 2)-3x = 8x + 16 - 3x = 5x + 16\)
Right side: \(-2(x - 8)+7x = -2x + 16 + 7x = 5x + 16\)

Step2: Compare both sides

Since both sides of the equation are identical (\(5x + 16 = 5x + 16\)) for all values of \(x\), the equation is an identity.

Answer:

Identity