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2=1+2x\times 4
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.
2=1+8x
Multiply 2 and 4 to get 8.
1+8x=2
Swap sides so that all variable terms are on the left hand side.
8x=2-1
Subtract 1 from both sides.
8x=1
Subtract 1 from 2 to get 1.
x=\frac{1}{8}
Divide both sides by 8.