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x\times 900=\left(x+30\right)\times 600
Variable x cannot be equal to any of the values -30,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+30\right), the least common multiple of x+30,x.
x\times 900=600x+18000
Use the distributive property to multiply x+30 by 600.
x\times 900-600x=18000
Subtract 600x from both sides.
300x=18000
Combine x\times 900 and -600x to get 300x.
x=\frac{18000}{300}
Divide both sides by 300.
x=60
Divide 18000 by 300 to get 60.