$$\frac{1}{2a-5}+\frac{7}{7}=\frac{2}{9+5}$$
$a = \frac{23}{12} = 1\frac{11}{12} \approx 1.916666667$
$$7+\left(2a-5\right)\times 7=\left(a-\frac{5}{2}\right)\times 2$$
$$7+14a-35=\left(a-\frac{5}{2}\right)\times 2$$
$$-28+14a=\left(a-\frac{5}{2}\right)\times 2$$
$$-28+14a=2a-5$$
$$-28+14a-2a=-5$$
$$-28+12a=-5$$
$$12a=-5+28$$
$$12a=23$$
$$a=\frac{23}{12}$$
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