[tex] \frac{a - c}{x - a}[/tex] = 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
[tex] \frac{a - c + ma}{m} [/tex] = x Switch the sides to make it easier to read
x = [tex] \frac{a - c + ma}{m} [/tex]