Add 9 to both sides and get 6|1-5x|=66. Divide both sides by 6 and get |1-5x|=11. Drop absolute value signs and subtract 1 from each side and get -5x=10. Divide each side by -5 and get x=-2. However, x was in absolute value sobs to begin with so take the absolute value of -2 and your answer should be x=2.
