To solve the inequality \(-5x + 5 \geq 160 - 10x\), we will first simplify and isolate \(x\).
1. Start with the original inequality:
\[
-5x + 5 \geq 160 - 10x
\]
2. Add \(10x\) to both sides to get all the \(x\) terms on one side:
\[
-5x + 10x + 5 \geq 160
\]
This simplifies to:
\[
5x + 5 \geq 160
\]
3. Next, subtract \(5\) from both sides:
\[
5x \geq 155
\]
4. Finally, divide both sides by \(5\):


