Solve the equation. $| 5 x + 8 | = | 16 - 3 x |$
A) $x = 4$
B) $x = 1 , - 12$
C) $x = 4 , - 6$
D) $x = 1 , - 4$
E) no solution

Question

Quizplus · Accepted Answer

The equation $| 5x + 8 | = | 16 - 3x |$ can be solved by considering two cases due to the absolute value: 1. $5x + 8 = 16 - 3x$, solving this gives $8x = 8$, so $x = 1$.2. $5x + 8 = -(16 - 3x)$, which simplifies to $5x + 8 = -16 + 3x$, solving this gives $2x = -24$, so $x = -12$.Therefore, the solutions are $x = 1$ and $x = -12$.

Solve the Equation ∣5x+8∣=∣16−3x∣| 5 x + 8 | = | 16 - 3 x |∣5x+8∣=∣16−3x∣

Solve the Equation $| 5 x + 8 | = | 16 - 3 x |$