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-2x=3\left(x-180\right)
Variable x cannot be equal to 180 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-180\right), the least common multiple of 180-x,2.
-2x=3x-540
Use the distributive property to multiply 3 by x-180.
-2x-3x=-540
Subtract 3x from both sides.
-5x=-540
Combine -2x and -3x to get -5x.
x=\frac{-540}{-5}
Divide both sides by -5.
x=108
Divide -540 by -5 to get 108.