Evaluate: 2 x+5 <= 3 x-10

Expression: $$2 x + 5 \leq 3 x - 10$$

Subtract $3x$ from both sides.

$$2x+5-3x\leq -10$$

Combine $2x$ and $-3x$ to get $-x$.

$$-x+5\leq -10$$

Subtract $5$ from both sides.

$$-x\leq -10-5$$

Subtract $5$ from $-10$ to get $-15$.

$$-x\leq -15$$

Divide both sides by $-1$. Since $-1$ is negative, the inequality direction is changed.

$$x\geq \frac{-15}{-1}$$

Fraction $\frac{-15}{-1}$ can be simplified to $15$ by removing the negative sign from both the numerator and the denominator.

$$x\geq 15$$