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\left(-x+10\right)\times 2=5
Variable x cannot be equal to 10 since division by zero is not defined. Multiply both sides of the equation by 5\left(x-10\right), the least common multiple of -5,x-10.
-2x+20=5
Use the distributive property to multiply -x+10 by 2.
-2x=5-20
Subtract 20 from both sides.
-2x=-15
Subtract 20 from 5 to get -15.
x=\frac{-15}{-2}
Divide both sides by -2.
x=\frac{15}{2}
Fraction \frac{-15}{-2} can be simplified to \frac{15}{2} by removing the negative sign from both the numerator and the denominator.