Question

how can you isolate $x$?
$3+\frac{x}{5}>9$
$-3 \quad \quad -3$
subtract 3 on both sides.
$\frac{x}{5}>6$
? on both sides.? the symbol.
multiply by 5
multiply by 6
divide by 5
divide by 6

Explanation:

Step1: Isolate x-term first

Subtract 3 from both sides:
$3+\frac{x}{5}-3 > 9-3$
$\frac{x}{5} > 6$

Step2: Eliminate denominator

Multiply both sides by 5 (positive number, inequality symbol stays the same):
$5\times\frac{x}{5} > 6\times5$

Step3: Simplify to isolate x

$x > 30$

Answer:

First blank: Multiply by 5
Second blank: Do not reverse
Final isolated inequality: $x > 30$