Question

solve for all values of x in simplest form. -|3x + 4| + 6 = -5 answer attempt 1 out of 2 additional solution no solution x =

Explanation:

Step1: Isolate the absolute value

Subtract 6 from both sides:
$-|3x + 4| = -5 - 6$
$-|3x + 4| = -11$
Multiply both sides by -1:
$|3x + 4| = 11$

Step2: Solve the absolute value equation

Case 1: $3x + 4 = 11$
Subtract 4 from both sides:
$3x = 11 - 4$
$3x = 7$
Divide by 3:
$x = \frac{7}{3}$

Case 2: $3x + 4 = -11$
Subtract 4 from both sides:
$3x = -11 - 4$
$3x = -15$
Divide by 3:
$x = -5$

Answer:

$x = \frac{7}{3}$ or $x = -5$