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x\left(-2\right)+3=5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x\left(-2\right)+3-5x=0
Subtract 5x from both sides.
-7x+3=0
Combine x\left(-2\right) and -5x to get -7x.
-7x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3}{-7}
Divide both sides by -7.
x=\frac{3}{7}
Fraction \frac{-3}{-7} can be simplified to \frac{3}{7} by removing the negative sign from both the numerator and the denominator.