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6x=5\times 8.4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of 5,x.
6x=42
Multiply 5 and 8.4 to get 42.
x=\frac{42}{6}
Divide both sides by 6.
x=7
Divide 42 by 6 to get 7.