Question

Solve |3k-2|=2|k+12|

Answer 1

Answer:

$k = 26$   or   $k = -\dfrac{22}{5}$

Step-by-step explanation:

|3k - 2| = 2|k + 12|

$\dfrac{|3k - 2|}{|k + 12|} = 2$

$|\dfrac{3k - 2}{k + 12}| = 2$

$3k - 2 = 2(k + 12)$   or   $3k - 2 = -2(k + 12)$

$3k - 2 = 2k + 24$   or   $3k - 2 = -2k - 24$

$k = 26$   or   $5k = -22$

$k = 26$   or   $k = -\dfrac{22}{5}$