$$38 \cdot \frac { 2 x - 1 } { 3 } = 5$$
$x=\frac{53}{76}\approx 0.697368421$
$$\frac{2x-1}{3}=\frac{5}{38}$$
$$2x-1=\frac{5}{38}\times 3$$
$$2x-1=\frac{5\times 3}{38}$$
$$2x-1=\frac{15}{38}$$
$$2x=\frac{15}{38}+1$$
$$2x=\frac{15}{38}+\frac{38}{38}$$
$$2x=\frac{15+38}{38}$$
$$2x=\frac{53}{38}$$
$$x=\frac{\frac{53}{38}}{2}$$
$$x=\frac{53}{38\times 2}$$
$$x=\frac{53}{76}$$
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