Question

|3x-4|=|x+6|
Решите пожалуйста

Answer 1

$|3x-4| = |x+6|\\1) 3x-4 = x+6\\2x = 10\\x = 5\\2)3x-4 = -x-6\\4x = -2\\x = -0.5\\3) 4-3x = x+6\\-2 = 4x\\x = -0.5\\4) 4-3x = -x-6\\10 = 2x\\x = 5\\Result:\\x = 5; x = -0.5$