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x=6x+12+1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x^{2}, the least common multiple of x,x^{2}.
x=6x+13
Add 12 and 1 to get 13.
x-6x=13
Subtract 6x from both sides.
-5x=13
Combine x and -6x to get -5x.
x=\frac{13}{-5}
Divide both sides by -5.
x=-\frac{13}{5}
Fraction \frac{13}{-5} can be rewritten as -\frac{13}{5} by extracting the negative sign.