Solve the inequality 2x - 5 <= -x + 12 - 7x + 18.
2x - 5 <= -x + 12 - 7x + 18
Rearrange as
10x <= 35
x <= 35 / 10
x <= 7 / 2
Put the terms with \(x\) on one side and the numbers on the other:
\(2x+x+7x \le 12+18+5\)
which simplifies to \(10x\le35\)
So \(x= \dfrac{7}{2}\).
I hope that helped!