Solve for x
x=-15
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\left(x+3\right)\times 500=x\times 400
Variable x cannot be equal to any of the values -3,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+3\right), the least common multiple of x,x+3.
500x+1500=x\times 400
Use the distributive property to multiply x+3 by 500.
500x+1500-x\times 400=0
Subtract x\times 400 from both sides.
100x+1500=0
Combine 500x and -x\times 400 to get 100x.
100x=-1500
Subtract 1500 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1500}{100}
Divide both sides by 100.
x=-15
Divide -1500 by 100 to get -15.
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