Solve the equation.
-$$| 3 x + 7 | = | x + 5 |$$
A) $\{ - 1 \}$
B) $\{ - 1 , - 3 \}$
C) $\{ 1,3 \}$
D) $\varnothing$

Name: Solve the equation. -\[| 3 x + 7 | = | x + 5 |\] A) $\{ - 1 \}$ B) $\{ - 1 , - 3 \}$ C) $\{ 1,3 \}$ D) $\varnothing$
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Question

Quizplus · Accepted Answer

The equation $| 3 x + 7 | = | x + 5 |$ can be solved by considering the absolute value properties. We have two cases: $3x + 7 = x + 5$ and $3x + 7 = -(x + 5)$. Solving these gives $x = -1$ and $x = -3$, respectively.

Solve the Equation ∣3x+7∣=∣x+5∣| 3 x + 7 | = | x + 5 |∣3x+7∣=∣x+5∣

Solve the Equation $| 3 x + 7 | = | x + 5 |$