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2x+3-0.5x=0
Subtract 0.5x from both sides.
1.5x+3=0
Combine 2x and -0.5x to get 1.5x.
1.5x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3}{1.5}
Divide both sides by 1.5.
x=\frac{-30}{15}
Expand \frac{-3}{1.5} by multiplying both numerator and the denominator by 10.
x=-2
Divide -30 by 15 to get -2.