Evaluate: x>17

Solve for x: $x>17$

Use the distributive property to multiply $3$ by $x+5$.

$$3x+15+1<4x-1$$

Add $15$ and $1$ to get $16$.

$$3x+16<4x-1$$

Subtract $4x$ from both sides.

$$3x+16-4x<-1$$

Combine $3x$ and $-4x$ to get $-x$.

$$-x+16<-1$$

Subtract $16$ from both sides.

$$-x<-1-16$$

Subtract $16$ from $-1$ to get $-17$.

$$-x<-17$$

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

$$x>\frac{-17}{-1}$$

Fraction $\frac{-17}{-1}$ can be simplified to $17$ by removing the negative sign from both the numerator and the denominator.

$$x>17$$