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2x\times 3=2+x\times 4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x^{2}, the least common multiple of x,x^{2},2x.
6x=2+x\times 4
Multiply 2 and 3 to get 6.
6x-x\times 4=2
Subtract x\times 4 from both sides.
2x=2
Combine 6x and -x\times 4 to get 2x.
x=\frac{2}{2}
Divide both sides by 2.
x=1
Divide 2 by 2 to get 1.