Question

Solve a(x-b) - 2k = L for b

Answer 1

$a(x-b)-2k=L\\\\ax-ab-2k=L\ \ \ |+2k\\\\ax-ab=L+2k\ \ \ |-ax\\\\-ab=L+2k-ax\ \ \ |change\ the\ signs\\\\ab=ax-L-2k\ \ \ |:a\neq0\\\\\boxed{b=\dfrac{ax-L-2k}{a}}$