Question

(a-c)/(x-a)=m solve for x and state restrictions on variables

Answer 1

a−cx−a=m

Multiply both sides by x-a
then u get
a−cx−a∗(x−a)=m∗(x−a)

a−c=m(x−a)

Divide both sides by m.
a−cm=m(x−a)m

a−cm=x−a

Add a both sides
a−cm+a=x−a+a

a−cm+a=x

a−c+mam=x

Is it clear?

Answer 2

\[\frac{a-c}{x-a} = m\]

First, you need to find any restrictions on the variables. Those restrictions keep the denominator of this expression from being 0. That means any value of \(x\) that makes \(x-a=0\) is a restricted value.

To solve the equation, I would multiply both sides by the denominator \((x-a)\). Then use the distributive property to remove any parentheses, and solve for \(x\) by adding, subtracting and dividing as necessary.