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-2x+3=3x-4
Multiply both sides of the equation by 5.
-2x+3-3x=-4
Subtract 3x from both sides.
-5x+3=-4
Combine -2x and -3x to get -5x.
-5x=-4-3
Subtract 3 from both sides.
-5x=-7
Subtract 3 from -4 to get -7.
x=\frac{-7}{-5}
Divide both sides by -5.
x=\frac{7}{5}
Fraction \frac{-7}{-5} can be simplified to \frac{7}{5} by removing the negative sign from both the numerator and the denominator.