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