Question

Please provide the working outs as well as the answer. Many thanks

Answer 1

$\dfrac{3w-5}{2}=w-3\ \ \ |multiply\ both\ sides\ by\ 2\\\\\not2^1\cdot\dfrac{3w-5}{\not2_1}=2\cdot w-2\cdot3\\\\3w-5=2w-6\ \ \ |add\ 5\ to\ both\ sides\\\\3w-5+5=2w-6+5\\\\3w=2w-1\ \ \ \ |subtract\ 2w\ from\ both\ sides\\\\3w-2w=2w-2w-1\\\\\boxed{w=-1}$