(x+2)² - (3+x)(x-2) = x-3

Expand the terms: $$(x^2 + 4x + 4) - (3x - 6 + x^2 - 2x) = x - 3$$. Simplify the second term: $$(x^2 + 4x + 4) - (x^2 + x - 6) = x - 3$$. Combine like terms: $$x^2 + 4x + 4 - x^2 - x + 6 = x - 3$$. Simplify further: $$3x + 10 = x - 3$$. Rearrange to solve for x: $$2x = -13$$. Final answer: $$x = -13/2$$.