$$\frac{12}{5+5}+(5-5)=3$$
$\text{false}$
$$\frac{12}{10}+5-5=3$$
$$\frac{6}{5}+5-5=3$$
$$\frac{6}{5}+\frac{25}{5}-5=3$$
$$\frac{6+25}{5}-5=3$$
$$\frac{31}{5}-5=3$$
$$\frac{31}{5}-\frac{25}{5}=3$$
$$\frac{31-25}{5}=3$$
$$\frac{6}{5}=3$$
$$\frac{6}{5}=\frac{15}{5}$$
$$\text{false}$$
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