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\left(x-9\right)\times 4200=x\times 3120
Variable x cannot be equal to any of the values 0,9 since division by zero is not defined. Multiply both sides of the equation by x\left(x-9\right), the least common multiple of x,x-9.
4200x-37800=x\times 3120
Use the distributive property to multiply x-9 by 4200.
4200x-37800-x\times 3120=0
Subtract x\times 3120 from both sides.
1080x-37800=0
Combine 4200x and -x\times 3120 to get 1080x.
1080x=37800
Add 37800 to both sides. Anything plus zero gives itself.
x=\frac{37800}{1080}
Divide both sides by 1080.
x=35
Divide 37800 by 1080 to get 35.