what is the solution to the equation

-1/3x-1/6=2/9

1 answer

To find the solution to the equation: -1/3x - 1/6 = 2/9, we can start by simplifying the equation.

First, let's get rid of the denominators by multiplying the whole equation by the least common multiple (LCM) of 3, 6, and 9, which is 18.

18(-1/3x) - 18(1/6) = 18(2/9)
-6x - 3 = 4

Next, let's isolate the variable by moving the constant term to the other side of the equation.

-6x = 4 + 3
-6x = 7

Finally, divide both sides of the equation by -6 to solve for x.

x = 7/(-6)
x = -7/6

Therefore, the solution to the equation -1/3x - 1/6 = 2/9 is x = -7/6.
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