Area=500 height=2x+6 width=4x-3: what is the exact width?

Area of a rectangle is lxb
(4x-3) * (2x+6) = 500
{(4x * 2x) + (4x * 6)} + {( -3 * 2x) + (-3 * 6)} - multiplying the factors
{8x^2 + 24x} + {-6x + -18}
8x^2 + 24x -6x -18 - removing the brackets
8x^2 +15x -18
Hope you found the answer helpful