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4x+3=5x-6x
Multiply both sides of the equation by 3.
4x+3=-x
Combine 5x and -6x to get -x.
4x+3+x=0
Add x to both sides.
5x+3=0
Combine 4x and x to get 5x.
5x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3}{5}
Divide both sides by 5.
x=-\frac{3}{5}
Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.