$$\frac { 3 x + 5 } { 15 } = \frac { 7 x + 5 } { 6 } - \frac { 3 x + 2 } { 5 }$$
$x=-\frac{3}{11}\approx -0.272727273$
$$2\left(3x+5\right)=5\left(7x+5\right)-6\left(3x+2\right)$$
$$6x+10=5\left(7x+5\right)-6\left(3x+2\right)$$
$$6x+10=35x+25-6\left(3x+2\right)$$
$$6x+10=35x+25-18x-12$$
$$6x+10=17x+25-12$$
$$6x+10=17x+13$$
$$6x+10-17x=13$$
$$-11x+10=13$$
$$-11x=13-10$$
$$-11x=3$$
$$x=\frac{3}{-11}$$
$$x=-\frac{3}{11}$$
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