$$\frac { 2 x - 3 } { 5 } = \frac { x + 8 } { 4 }$$
$x = \frac{52}{3} = 17\frac{1}{3} \approx 17.333333333$
$$4\left(2x-3\right)=5\left(x+8\right)$$
$$8x-12=5\left(x+8\right)$$
$$8x-12=5x+40$$
$$8x-12-5x=40$$
$$3x-12=40$$
$$3x=40+12$$
$$3x=52$$
$$x=\frac{52}{3}$$
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