Solve for x
x=-8853.25
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Linear Equation
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0.2 \cdot 336 \left( 303-x \right) = 0.5 \cdot 293 \cdot 4200
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67.2\left(303-x\right)=0.5\times 293\times 4200
Multiply 0.2 and 336 to get 67.2.
20361.6-67.2x=0.5\times 293\times 4200
Use the distributive property to multiply 67.2 by 303-x.
20361.6-67.2x=146.5\times 4200
Multiply 0.5 and 293 to get 146.5.
20361.6-67.2x=615300
Multiply 146.5 and 4200 to get 615300.
-67.2x=615300-20361.6
Subtract 20361.6 from both sides.
-67.2x=594938.4
Subtract 20361.6 from 615300 to get 594938.4.
x=\frac{594938.4}{-67.2}
Divide both sides by -67.2.
x=\frac{5949384}{-672}
Expand \frac{594938.4}{-67.2} by multiplying both numerator and the denominator by 10.
x=-\frac{35413}{4}
Reduce the fraction \frac{5949384}{-672} to lowest terms by extracting and canceling out 168.
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