Question

What is the solution to 2n-5=8n+7?

Answer 1

$2n-5=8n+7 \\\\ 2n-8n=7+5 \\\\ -6n=12 \\\\ \boxed{n=-\frac{12}{6}=-2}$

Answer 2

$2n-5=8n+7\ \ \ |Subtract\ 8n\\\\ 2n-8n-5=8n+7-8n\\\\ -5n-5=7\ \ \ \ |Add\ 5\\\\ -5n=12\ \ \ |Divide\ by\ -5\\\\ n=\frac{12}{-5}=-2\frac{2}{5}\\\\Solution\ is\ n=-2\frac{2}{5}.$