# How do you solve the equation and identify any extraneous solutions for 4 abs(4-3x )= 4x + 6?

Jul 12, 2015

Verify those numbers!

#### Explanation:

4(4−3x)=4xs+6s, s = ±1

16−12x=4sx+6s

$16 - 6 s = 4 s x + 12 x$

$\frac{16 - 6 s}{4 s + 12} = x$

$s = 1 \setminus R i g h t a r r o w x = \frac{10}{16} = \frac{5}{8}$

$s = - 1 \setminus R i g h t a r r o w x = \frac{22}{8} = \frac{11}{4}$