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6+X\times 0.14=0.29X
Variable X cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by X.
6+X\times 0.14-0.29X=0
Subtract 0.29X from both sides.
6-0.15X=0
Combine X\times 0.14 and -0.29X to get -0.15X.
-0.15X=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
X=\frac{-6}{-0.15}
Divide both sides by -0.15.
X=\frac{-600}{-15}
Expand \frac{-6}{-0.15} by multiplying both numerator and the denominator by 100.
X=40
Divide -600 by -15 to get 40.