Answer
$x \geq -\frac{9}{2}$
Work Step by Step
Use distributive property on the right side of the inequality:
$5x + 3 \geq 3x - 6$
Collect constants on the right side of the inequality by subtracting $3$ from each side:
$5x \geq 3x - 9$
Subtract $3x$ from each side to collect variables on the left side of the inequality:
$2x \geq -9$
Divide each side by $2$ to solve for $x$:
$x \geq -\frac{9}{2}$
Let's check our answer by substituting our value for $x$ into the original inequality to see if our inequality holds true:
$5(-\frac{9}{2}) + 3 \geq 3(-\frac{9}{2} - 2)$
Multiply:
$-\frac{45}{2} + 3 \geq -\frac{27}{2} - 6$
Add or subtract:
$-19.5 \geq -19.5$
