Solve for x
x=50
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\left(x-5\right)\times 1000=x\times 900
Variable x cannot be equal to any of the values 0,5 since division by zero is not defined. Multiply both sides of the equation by x\left(x-5\right), the least common multiple of x,x-5.
1000x-5000=x\times 900
Use the distributive property to multiply x-5 by 1000.
1000x-5000-x\times 900=0
Subtract x\times 900 from both sides.
100x-5000=0
Combine 1000x and -x\times 900 to get 100x.
100x=5000
Add 5000 to both sides. Anything plus zero gives itself.
x=\frac{5000}{100}
Divide both sides by 100.
x=50
Divide 5000 by 100 to get 50.
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