$$2x-3=\frac{3}{10}(5x-12)$$
$x = -\frac{6}{5} = -1\frac{1}{5} = -1.2$
$$2x-3=\frac{3}{10}\times 5x+\frac{3}{10}\left(-12\right)$$
$$2x-3=\frac{3\times 5}{10}x+\frac{3}{10}\left(-12\right)$$
$$2x-3=\frac{15}{10}x+\frac{3}{10}\left(-12\right)$$
$$2x-3=\frac{3}{2}x+\frac{3}{10}\left(-12\right)$$
$$2x-3=\frac{3}{2}x+\frac{3\left(-12\right)}{10}$$
$$2x-3=\frac{3}{2}x+\frac{-36}{10}$$
$$2x-3=\frac{3}{2}x-\frac{18}{5}$$
$$2x-3-\frac{3}{2}x=-\frac{18}{5}$$
$$\frac{1}{2}x-3=-\frac{18}{5}$$
$$\frac{1}{2}x=-\frac{18}{5}+3$$
$$\frac{1}{2}x=-\frac{18}{5}+\frac{15}{5}$$
$$\frac{1}{2}x=\frac{-18+15}{5}$$
$$\frac{1}{2}x=-\frac{3}{5}$$
$$x=-\frac{3}{5}\times 2$$
$$x=\frac{-3\times 2}{5}$$
$$x=\frac{-6}{5}$$
$$x=-\frac{6}{5}$$
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