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2\times 3-1=6x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of x,2x.
6-1=6x
Multiply 2 and 3 to get 6.
5=6x
Subtract 1 from 6 to get 5.
6x=5
Swap sides so that all variable terms are on the left hand side.
x=\frac{5}{6}
Divide both sides by 6.