Bring all the terms on RHS except X. Bring X on LHS and all the other terms on RHS( X should not be on RHS.).
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Use grouping to factorise the numerator and take out the common factor \(ax\) in the denominator\[\frac{\left(ax - ab\right) + \left(x - b\right)}{a{x}^{2} - abx} = \frac{a\left(x - b\right) + \left(x - b\right)}{ax\left(x - b\right)}\]
Take out common factor \(\left(x-b\right)\) in the numerator\[=\frac{\left(x - b\right)\left(a + 1\right)}{ax\left(x - b\right)}\]
Cancel the common factor in the numerator and the denominator to give the final answer
=a+1ax
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