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4x-2x-\left(-3\right)=0
To find the opposite of 2x-3, find the opposite of each term.
4x-2x+3=0
The opposite of -3 is 3.
2x+3=0
Combine 4x and -2x to get 2x.
2x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3}{2}
Divide both sides by 2.
x=-\frac{3}{2}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.