Solve for A
A=B
L\neq 0\text{ and }C\neq 0\text{ and }M\neq 0
Solve for B
B=A
L\neq 0\text{ and }C\neq 0\text{ and }M\neq 0
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MAL=LBM
Multiply both sides of the equation by CLM, the least common multiple of LC,MC.
ALM=BLM
Reorder the terms.
LMA=BLM
The equation is in standard form.
\frac{LMA}{LM}=\frac{BLM}{LM}
Divide both sides by LM.
A=\frac{BLM}{LM}
Dividing by LM undoes the multiplication by LM.
A=B
Divide BLM by LM.
MAL=LBM
Multiply both sides of the equation by CLM, the least common multiple of LC,MC.
LBM=MAL
Swap sides so that all variable terms are on the left hand side.
LMB=ALM
The equation is in standard form.
\frac{LMB}{LM}=\frac{ALM}{LM}
Divide both sides by LM.
B=\frac{ALM}{LM}
Dividing by LM undoes the multiplication by LM.
B=A
Divide MAL by LM.
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