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24x=9x_{11}-27
The equation is in standard form.
\frac{24x}{24}=\frac{9x_{11}-27}{24}
Divide both sides by 24.
x=\frac{9x_{11}-27}{24}
Dividing by 24 undoes the multiplication by 24.
x=\frac{3x_{11}-9}{8}
Divide -27+9x_{11} by 24.
9x_{11}-27=24x
Swap sides so that all variable terms are on the left hand side.
9x_{11}=24x+27
Add 27 to both sides.
\frac{9x_{11}}{9}=\frac{24x+27}{9}
Divide both sides by 9.
x_{11}=\frac{24x+27}{9}
Dividing by 9 undoes the multiplication by 9.
x_{11}=\frac{8x}{3}+3
Divide 24x+27 by 9.