Answer
The solution set is $[-2,\infty)$ .
Work Step by Step
The idea is to isolate x on one side.
Adding, subtracting or multiplying/dividing with a positive number preserves order (the inequality symbol remains the same).
Multiplying/dividing with a negative number inverts the order (the inequality symbol changes).
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$\displaystyle \frac{3x}{10}+1\geq\frac{1}{5}-\frac{x}{10}\qquad $ ... $/\times 10$
$ 3x+10\geq 2-x\qquad $ ... $/+x-10$
$ 4x\geq-8\qquad $ ... $/\div 4$
$ x\geq-2$
The solution set is $[-2,\infty)$ .
