Solve the inequality for x.

5x+2≤-8
Simplify your answer as much as possible.

1 answer

To solve the inequality \( 5x + 2 \leq -8 \), we start by isolating \( x \).

  1. Subtract 2 from both sides: \[ 5x + 2 - 2 \leq -8 - 2 \] This simplifies to: \[ 5x \leq -10 \]

  2. Next, divide both sides by 5: \[ x \leq \frac{-10}{5} \] This simplifies to: \[ x \leq -2 \]

So the solution to the inequality is: \[ \boxed{x \leq -2} \]