Solve for B
\left\{\begin{matrix}B=-\frac{Q-A}{X}\text{, }&X\neq 0\\B\in \mathrm{R}\text{, }&A=Q\text{ and }X=0\end{matrix}\right.
Solve for A
A=BX+Q
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BX+Q=A
Swap sides so that all variable terms are on the left hand side.
BX=A-Q
Subtract Q from both sides.
XB=A-Q
The equation is in standard form.
\frac{XB}{X}=\frac{A-Q}{X}
Divide both sides by X.
B=\frac{A-Q}{X}
Dividing by X undoes the multiplication by X.
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