5x+6leqslant 21 -6-6 5xleqslant ? div 5div 5 xleqslant

To solve the inequality $5x + 6 \leqslant 21$, we need to isolate the variable $x$.<br /><br />Step 1: Subtract 6 from both sides of the inequality:<br />$5x + 6 - 6 \leqslant 21 - 6$<br />$5x \leqslant 15$<br /><br />Step 2: Divide both sides of the inequality by 5:<br />$\frac{5x}{5} \leqslant \frac{15}{5}$<br />$x \leqslant 3$<br /><br />Therefore, the solution to the inequality $5x + 6 \leqslant 21$ is $x \leqslant 3$.