Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
-$$2 x + 6 ( x + 1 ) + 2 = 8 - 2 x$$
A) Identity; {all real numbers }
B) Conditional; $\{ 0 \}$
C) Contradiction; $\varnothing$
D) Conditional; $\{ 1 \}$

Question

Quizplus · Accepted Answer

Simplifying the equation gives $8x + 8 = 8 - 2x$. Solving for $x$ results in $x = 0$, making it a conditional equation with solution set $\{ 0 \}$.

Decide Whether the Equation Is an Identity, a Conditional Equation 2x+6(x+1)+2=8−2x2 x + 6 ( x + 1 ) + 2 = 8 - 2 x2x+6(x+1)+2=8−2x

Decide Whether the Equation Is an Identity, a Conditional Equation $2 x + 6 ( x + 1 ) + 2 = 8 - 2 x$