Question

8|x-6|-9=4

solve for x

Answer 1

$8|x-6|-9=4 \\ \\ 8|x - 6| = 4 + 9 \\ \\ 8|x - 6| = 13 \\ \\ |x - 6| = \frac{13}{8} \\ \\ ----- \\ \\ x - 6 = \frac{13}{8} \\ \\ x = \frac{13}{8} + 6 \\ \\ x = \frac{61}{8} \\ \\ ----- \\ \\ -x + 6 = \frac{13}{6} \\ \\ 6 - x = \frac{13}{8} \\ \\ -x = \frac{13}{8} - 6 \\ \\ -x = - \frac{35}{8} \\ \\ x = \frac{35}{8} \\ \\ ----- \\ \\ x = \frac{35}{8} , \frac{61}{8}$

The answer is: x = 35/8 and x = 61/8.