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4\times 8000+100x\times 4=5\times 8000
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 25x,20x.
32000+100x\times 4=5\times 8000
Multiply 4 and 8000 to get 32000.
32000+400x=5\times 8000
Multiply 100 and 4 to get 400.
32000+400x=40000
Multiply 5 and 8000 to get 40000.
400x=40000-32000
Subtract 32000 from both sides.
400x=8000
Subtract 32000 from 40000 to get 8000.
x=\frac{8000}{400}
Divide both sides by 400.
x=20
Divide 8000 by 400 to get 20.