Solve for X
:
X=
B - A
A + X = B
Add abs(A)
to both sides:
Subtract abs(A)
from both sides:
\qquad
\begin{eqnarray} \\
A + X &=& B \\ \\
\red{A < 0 ? "+" : "-"abs(A)} && \red{A < 0 ? "+" : "-"abs(A)}
\end{eqnarray}
\qquad
\begin{eqnarray}
\hphantom{A + X} &\hphantom{=}& \hphantom{B} \\
X &=& B \red{- A} \\
\end{eqnarray}
Simplify.
\qquad X = B - A
X + A = B
Add abs(A)
to both sides:
Subtract abs(A)
from both sides:
\qquad
\begin{eqnarray} \\
X + A &=& B \\ \\
\red{A < 0 ? "+" : "-"abs(A)} && \red{A < 0 ? "+" : "-"abs(A)}
\end{eqnarray}
\qquad
\begin{eqnarray}
\hphantom{A + X} &\hphantom{=}& \hphantom{B} \\
X &=& B \red{- A} \\
\end{eqnarray}
Simplify.
\qquad X = B - A
B = A + X
Add abs(A)
to both sides:
Subtract abs(A)
from both sides:
\qquad
\begin{eqnarray} \\
\hphantom{B \red{- A}} &\hphantom{=}& \hphantom{X} \\
B &=& A + X \\ \\
\red{A < 0 ? "+" : "-"abs(A)} && \red{A < 0 ? "+" : "-"abs(A)} \\
\end{eqnarray}
\qquad
\begin{eqnarray} \\
B \red{- A} &=& X \\
\end{eqnarray}
Simplify.
\qquad X = B - A
B = X + A
Add abs(A)
to both sides:
Subtract abs(A)
from both sides:
\qquad
\begin{eqnarray} \\
\hphantom{B \red{- A}} &\hphantom{=}& \hphantom{X} \\
B &=& X + A \\ \\
\red{A < 0 ? "+" : "-"abs(A)} && \red{A < 0 ? "+" : "-"abs(A)} \\
\end{eqnarray}
\qquad
\begin{eqnarray} \\
B \red{- A} &=& X \\
\end{eqnarray}
Simplify.
\qquad X = B - A