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x+2=6\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
x+2=6x-6
Use the distributive property to multiply 6 by x-1.
x+2-6x=-6
Subtract 6x from both sides.
-5x+2=-6
Combine x and -6x to get -5x.
-5x=-6-2
Subtract 2 from both sides.
-5x=-8
Subtract 2 from -6 to get -8.
x=\frac{-8}{-5}
Divide both sides by -5.
x=\frac{8}{5}
Fraction \frac{-8}{-5} can be simplified to \frac{8}{5} by removing the negative sign from both the numerator and the denominator.