Solve for x
x=-\frac{\sigma }{2}-x_{30}+20
Solve for x_30
x_{30}=-\frac{\sigma }{2}-x+20
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40-2x_{30}-2x=\sigma
Swap sides so that all variable terms are on the left hand side.
-2x_{30}-2x=\sigma -40
Subtract 40 from both sides.
-2x=\sigma -40+2x_{30}
Add 2x_{30} to both sides.
-2x=2x_{30}+\sigma -40
The equation is in standard form.
\frac{-2x}{-2}=\frac{2x_{30}+\sigma -40}{-2}
Divide both sides by -2.
x=\frac{2x_{30}+\sigma -40}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-\frac{\sigma }{2}-x_{30}+20
Divide \sigma -40+2x_{30} by -2.
40-2x_{30}-2x=\sigma
Swap sides so that all variable terms are on the left hand side.
-2x_{30}-2x=\sigma -40
Subtract 40 from both sides.
-2x_{30}=\sigma -40+2x
Add 2x to both sides.
-2x_{30}=2x+\sigma -40
The equation is in standard form.
\frac{-2x_{30}}{-2}=\frac{2x+\sigma -40}{-2}
Divide both sides by -2.
x_{30}=\frac{2x+\sigma -40}{-2}
Dividing by -2 undoes the multiplication by -2.
x_{30}=-\frac{\sigma }{2}-x+20
Divide \sigma -40+2x by -2.
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