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\left(x+4\right)\times 6000=x\times 6300
Variable x cannot be equal to any of the values -4,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+4\right), the least common multiple of x,x+4.
6000x+24000=x\times 6300
Use the distributive property to multiply x+4 by 6000.
6000x+24000-x\times 6300=0
Subtract x\times 6300 from both sides.
-300x+24000=0
Combine 6000x and -x\times 6300 to get -300x.
-300x=-24000
Subtract 24000 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-24000}{-300}
Divide both sides by -300.
x=80
Divide -24000 by -300 to get 80.