geometry
posted by Jessica .
In the diagram below of isosceles trapezoid DEFG, DE ll GF. DE = 4x − 2, EF = 3x + 2, FG = 5x − 3, and GD = 2x + 5. Find the value of x. the answer is 3 but idk how, please help

The nonparallel sides of a trapezoid are equal:
EF = DG,
3X+2 = 2X+5,
3X2X = 52,
X = 3.