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10\left(8-4x\right)=27x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 30x, the least common multiple of 3x,10.
80-40x=27x
Use the distributive property to multiply 10 by 8-4x.
80-40x-27x=0
Subtract 27x from both sides.
80-67x=0
Combine -40x and -27x to get -67x.
-67x=-80
Subtract 80 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-80}{-67}
Divide both sides by -67.
x=\frac{80}{67}
Fraction \frac{-80}{-67} can be simplified to \frac{80}{67} by removing the negative sign from both the numerator and the denominator.