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A-3x=5+x_{3}-\beta ^{2}
Subtract \beta ^{2} from both sides.
A=5+x_{3}-\beta ^{2}+3x
Add 3x to both sides.
\beta ^{2}-3x=5+x_{3}-A
Subtract A from both sides.
-3x=5+x_{3}-A-\beta ^{2}
Subtract \beta ^{2} from both sides.
-3x=x_{3}-\beta ^{2}-A+5
The equation is in standard form.
\frac{-3x}{-3}=\frac{x_{3}-\beta ^{2}-A+5}{-3}
Divide both sides by -3.
x=\frac{x_{3}-\beta ^{2}-A+5}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{-x_{3}+\beta ^{2}+A-5}{3}
Divide 5+x_{3}-A-\beta ^{2} by -3.