Solve for x_2
x_{2}=-2x_{8}-y_{5}-100
Solve for x_8
x_{8}=-\frac{x_{2}}{2}-\frac{y_{5}}{2}-50
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100=-x_{2}-2x_{8}-y_{5}
Combine -x_{8} and -x_{8} to get -2x_{8}.
-x_{2}-2x_{8}-y_{5}=100
Swap sides so that all variable terms are on the left hand side.
-x_{2}-y_{5}=100+2x_{8}
Add 2x_{8} to both sides.
-x_{2}=100+2x_{8}+y_{5}
Add y_{5} to both sides.
-x_{2}=2x_{8}+y_{5}+100
The equation is in standard form.
\frac{-x_{2}}{-1}=\frac{2x_{8}+y_{5}+100}{-1}
Divide both sides by -1.
x_{2}=\frac{2x_{8}+y_{5}+100}{-1}
Dividing by -1 undoes the multiplication by -1.
x_{2}=-\left(2x_{8}+y_{5}+100\right)
Divide 100+2x_{8}+y_{5} by -1.
100=-x_{2}-2x_{8}-y_{5}
Combine -x_{8} and -x_{8} to get -2x_{8}.
-x_{2}-2x_{8}-y_{5}=100
Swap sides so that all variable terms are on the left hand side.
-2x_{8}-y_{5}=100+x_{2}
Add x_{2} to both sides.
-2x_{8}=100+x_{2}+y_{5}
Add y_{5} to both sides.
-2x_{8}=x_{2}+y_{5}+100
The equation is in standard form.
\frac{-2x_{8}}{-2}=\frac{x_{2}+y_{5}+100}{-2}
Divide both sides by -2.
x_{8}=\frac{x_{2}+y_{5}+100}{-2}
Dividing by -2 undoes the multiplication by -2.
x_{8}=-\frac{x_{2}}{2}-\frac{y_{5}}{2}-50
Divide 100+x_{2}+y_{5} by -2.
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