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2500\left(x-100\right)=40000
Variable x cannot be equal to 100 since division by zero is not defined. Multiply both sides of the equation by x-100.
2500x-250000=40000
Use the distributive property to multiply 2500 by x-100.
2500x=40000+250000
Add 250000 to both sides.
2500x=290000
Add 40000 and 250000 to get 290000.
x=\frac{290000}{2500}
Divide both sides by 2500.
x=116
Divide 290000 by 2500 to get 116.