Verified Answer :

\(\frac{a - c}{x - a}\) = m   Multiply both sides by (x - a)
a - c = m (x - a)   Use the Distributive Property
a - c = mx - ma  Add ma to both sides
a - c + ma = mx   Divide both sides by m
\(\frac{a - c + ma}{m}\) = x   Switch the sides to make it easier to read
x = \(\frac{a - c + ma}{m}\)

a-c/x-a = m
x-a/a-c = 1/m
x-a = a-c/m
x = a + a-c/m