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100\times 138=x\times 6
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100x, the least common multiple of x,100.
13800=x\times 6
Multiply 100 and 138 to get 13800.
x\times 6=13800
Swap sides so that all variable terms are on the left hand side.
x=\frac{13800}{6}
Divide both sides by 6.
x=2300
Divide 13800 by 6 to get 2300.