Steps to solve:
9|9 - 8x| = 2x + 3
~Divide 9 to both sides
|9 - 8x| = 2/9x + 1/3
~Solve absolute value (part one)
|9 - 8x| = 2/9x + 1/3
-74/9x + 9 = 1/3 (Subtracted 2/9x to both sides)
-74/9x = -26/3 (Subtracted 9 to both sides)
x = 39/37 (Multiplied 37/39 to both sides)
~Solve absolute value (part two)
|9 - 8x| = -(2/9x + 1/3)
|9 - 8x| = -2/9x - 1/3 (Distributed negative sign to left side)
-70/9x + 9 = 11/3 (Added 2/9x to both sides)
-70/9x = -28/3 (Subtracted 9 to both sides)
x = 6/5 (Multiplied 9/-70 to both sides)
Therefore, the solutions are x = 39/37 and x = 6/5
Best of Luck!
