# How do you solve abs(3/4x - 6) = 9?

Jul 28, 2015

$x = - 4 , 20$
 ∣ 3/4 x − 6 ∣ = 9
 => 3/4 x − 6 = +- 9
$\implies \frac{\cancel{3} 1}{4} x = \cancel{15} 5 , \cancel{- 3} - 1$ [Reason: $15 = + 9 + 6 , - 3 = - 9 + 6$]
$\implies x = 20 , - 4$