$$\frac { x - b - c } { a } + \frac { x - b - a } { c } = a$$
Solve for b
$\left\{\begin{matrix}b=\frac{ax+cx-ca^{2}-a^{2}-c^{2}}{a+c}\text{, }&c\neq -a\text{ and }a\neq 0\text{ and }c\neq 0\\b\in \mathrm{R}\text{, }&a=2\text{ and }c=-2\end{matrix}\right.$
Steps for Solving Linear Equation
Multiply both sides of the equation by $ac$, the least common multiple of $a,c$.
$$c\left(x-b-c\right)+a\left(x-b-a\right)=aac$$
Use the distributive property to multiply $c$ by $x-b-c$.
$$cx-cb-c^{2}+a\left(x-b-a\right)=aac$$
Use the distributive property to multiply $a$ by $x-b-a$.
