$$\frac{ 2b }{ 7 } + \frac{ b-1 }{ 5 } = \frac{ b }{ 2 } - \frac{ b }{ 5 }$$
$b = \frac{14}{13} = 1\frac{1}{13} \approx 1.076923077$
$$10\times 2b+14\left(b-1\right)=35b-14b$$
$$20b+14\left(b-1\right)=35b-14b$$
$$20b+14b-14=35b-14b$$
$$34b-14=35b-14b$$
$$34b-14=21b$$
$$34b-14-21b=0$$
$$13b-14=0$$
$$13b=14$$
$$b=\frac{14}{13}$$
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