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3.6+0.2\times 9x=3.6x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
3.6+1.8x=3.6x
Multiply 0.2 and 9 to get 1.8.
3.6+1.8x-3.6x=0
Subtract 3.6x from both sides.
3.6-1.8x=0
Combine 1.8x and -3.6x to get -1.8x.
-1.8x=-3.6
Subtract 3.6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3.6}{-1.8}
Divide both sides by -1.8.
x=\frac{-36}{-18}
Expand \frac{-3.6}{-1.8} by multiplying both numerator and the denominator by 10.
x=2
Divide -36 by -18 to get 2.