5x+4gt -16 -4 -4 div 5div 5

To solve the inequality $5x+4\gt -16$, we need to isolate the variable $x$.<br /><br />Step 1: Subtract 4 from both sides of the inequality:<br />$5x+4-4\gt -16-4$<br />$5x\gt -20$<br /><br />Step 2: Divide both sides of the inequality by 5:<br />$\frac{5x}{5}\gt \frac{-20}{5}$<br />$x\gt -4$<br /><br />Therefore, the solution to the inequality $5x+4\gt -16$ is $x\gt -4$.