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2x\times \frac{1}{2}+2x\times 2=2\times 51
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 2,x.
x+2x\times 2=2\times 51
Cancel out 2 and 2.
x+4x=2\times 51
Multiply 2 and 2 to get 4.
5x=2\times 51
Combine x and 4x to get 5x.
5x=102
Multiply 2 and 51 to get 102.
x=\frac{102}{5}
Divide both sides by 5.