Question

What is that solution to this inequality 2(x-4)+14<=x-1

Answer 1

$2(x-4)+14\leq x-1\\ 2x-8+14\leq x-1\\ 2x-x\leq-1+8-14\\ x\leq-7$

Answer 2

$2(x-4)+14\leq x-1\\2x+2(-4)+14\leq x-1\\2x-8+14\leq x-1\\2x+6\leq x-1\ \ \ \ |subtract\ 6\ from\ both\ sides\\2x\leq x-7\ \ \ \ |subtract\ x\ from\ both\ sides\\\boxed{x\leq-7\to x\in(-\infty;-7]}$