Simplify 2/(2(3x-5)+3)

$\frac{2}{2 (3 x - 5) + 3}$

Apply the distributive property.

$\frac{2}{2 (3 x) + 2 \cdot - 5 + 3}$

Multiply $3$ by $2$ .

$\frac{2}{6 x + 2 \cdot - 5 + 3}$

Multiply $2$ by $- 5$ .

$\frac{2}{6 x - 10 + 3}$

Add $- 10$ and $3$ .

$\frac{2}{6 x - 7}$

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