Solve the equation. Then tell whether the equation is a conditional equation, an identity, or a contradiction.
-$\frac{x}{3}+6=\frac{7 x}{12}-2-\frac{x}{4}+8$
A) $(-\infty, \infty)$; identity
B) $\{7\}$; conditional equation
C) $\varnothing$; contradiction
D) $\{0\}$; conditional equation

Question

Quizplus · Accepted Answer

The equation simplifies to an identity, meaning it is true for all values of $x$.

Solve the Equation x3+6=7x12−2−x4+8\frac{x}{3}+6=\frac{7 x}{12}-2-\frac{x}{4}+83x​+6=127x​−2−4x​+8 A) (−∞,∞)(-\infty, \infty)(−∞,∞) ; Identity B) {7}\{7\}{7} ; Conditional Equation C)

Solve the Equation $\frac{x}{3}+6=\frac{7 x}{12}-2-\frac{x}{4}+8$ A) $(-\infty, \infty)$ ; Identity
B) $\{7\}$ ; Conditional Equation
C)