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4\times 2=3x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,4.
8=3x
Multiply 4 and 2 to get 8.
3x=8
Swap sides so that all variable terms are on the left hand side.
x=\frac{8}{3}
Divide both sides by 3.