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Solve for x_6
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26x=24-2x_{6}-x
Add 24 and 2 to get 26.
26x+x=24-2x_{6}
Add x to both sides.
27x=24-2x_{6}
Combine 26x and x to get 27x.
\frac{27x}{27}=\frac{24-2x_{6}}{27}
Divide both sides by 27.
x=\frac{24-2x_{6}}{27}
Dividing by 27 undoes the multiplication by 27.
x=-\frac{2x_{6}}{27}+\frac{8}{9}
Divide 24-2x_{6} by 27.
26x=24-2x_{6}-x
Add 24 and 2 to get 26.
24-2x_{6}-x=26x
Swap sides so that all variable terms are on the left hand side.
-2x_{6}-x=26x-24
Subtract 24 from both sides.
-2x_{6}=26x-24+x
Add x to both sides.
-2x_{6}=27x-24
Combine 26x and x to get 27x.
\frac{-2x_{6}}{-2}=\frac{27x-24}{-2}
Divide both sides by -2.
x_{6}=\frac{27x-24}{-2}
Dividing by -2 undoes the multiplication by -2.
x_{6}=-\frac{27x}{2}+12
Divide 27x-24 by -2.