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\left(x-10\right)\times 700=x\times 600
Variable x cannot be equal to any of the values 0,10 since division by zero is not defined. Multiply both sides of the equation by x\left(x-10\right), the least common multiple of x,x-10.
700x-7000=x\times 600
Use the distributive property to multiply x-10 by 700.
700x-7000-x\times 600=0
Subtract x\times 600 from both sides.
100x-7000=0
Combine 700x and -x\times 600 to get 100x.
100x=7000
Add 7000 to both sides. Anything plus zero gives itself.
x=\frac{7000}{100}
Divide both sides by 100.
x=70
Divide 7000 by 100 to get 70.