Solve for d
d=-8
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\left(d-1\right)\times 5=\left(d+3\right)\times 9
Variable d cannot be equal to any of the values -3,1 since division by zero is not defined. Multiply both sides of the equation by \left(d-1\right)\left(d+3\right), the least common multiple of d+3,d-1.
5d-5=\left(d+3\right)\times 9
Use the distributive property to multiply d-1 by 5.
5d-5=9d+27
Use the distributive property to multiply d+3 by 9.
5d-5-9d=27
Subtract 9d from both sides.
-4d-5=27
Combine 5d and -9d to get -4d.
-4d=27+5
Add 5 to both sides.
-4d=32
Add 27 and 5 to get 32.
d=\frac{32}{-4}
Divide both sides by -4.
d=-8
Divide 32 by -4 to get -8.
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