[tex]8x-3x=5x^2\\5x=5x^2\\x=x^2\\x=1[/tex]
Simplify 8x - 3x to 5x
5x = 5x^2
Cancel 5 on both sides
x = x^2
Move all terms to one side
x - x^2 = 0
Factor out the common term x
x(1 - x) = 0
Solve for x;
x = 0, 1