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4x-\left(-3\right)=0
Multiply 3 and -1 to get -3.
4x+3=0
The opposite of -3 is 3.
4x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3}{4}
Divide both sides by 4.
x=-\frac{3}{4}
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.