Solve for x
x=32
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\left(x+8\right)\times 4800=x\times 6000
Variable x cannot be equal to any of the values -8,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+8\right), the least common multiple of x,x+8.
4800x+38400=x\times 6000
Use the distributive property to multiply x+8 by 4800.
4800x+38400-x\times 6000=0
Subtract x\times 6000 from both sides.
-1200x+38400=0
Combine 4800x and -x\times 6000 to get -1200x.
-1200x=-38400
Subtract 38400 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-38400}{-1200}
Divide both sides by -1200.
x=32
Divide -38400 by -1200 to get 32.
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