$$5(2x+3)=3(x+4)+\frac{1}{3}$$
$x=-\frac{8}{21}\approx -0.380952381$
$$10x+15=3\left(x+4\right)+\frac{1}{3}$$
$$10x+15=3x+12+\frac{1}{3}$$
$$10x+15=3x+\frac{36}{3}+\frac{1}{3}$$
$$10x+15=3x+\frac{36+1}{3}$$
$$10x+15=3x+\frac{37}{3}$$
$$10x+15-3x=\frac{37}{3}$$
$$7x+15=\frac{37}{3}$$
$$7x=\frac{37}{3}-15$$
$$7x=\frac{37}{3}-\frac{45}{3}$$
$$7x=\frac{37-45}{3}$$
$$7x=-\frac{8}{3}$$
$$x=\frac{-\frac{8}{3}}{7}$$
$$x=\frac{-8}{3\times 7}$$
$$x=\frac{-8}{21}$$
$$x=-\frac{8}{21}$$
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