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x\left(360-90-108-86.4-18\right)=138240
Multiply both sides of the equation by 360.
x\left(270-108-86.4-18\right)=138240
Subtract 90 from 360 to get 270.
x\left(162-86.4-18\right)=138240
Subtract 108 from 270 to get 162.
x\left(75.6-18\right)=138240
Subtract 86.4 from 162 to get 75.6.
x\times 57.6=138240
Subtract 18 from 75.6 to get 57.6.
x=\frac{138240}{57.6}
Divide both sides by 57.6.
x=\frac{1382400}{576}
Expand \frac{138240}{57.6} by multiplying both numerator and the denominator by 10.
x=2400
Divide 1382400 by 576 to get 2400.