Solve for x
x=2
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\left(x+3\right)\times 3=\left(x+1\right)\times 5
Variable x 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(x+1\right)\left(x+3\right), the least common multiple of x+1,x+3.
3x+9=\left(x+1\right)\times 5
Use the distributive property to multiply x+3 by 3.
3x+9=5x+5
Use the distributive property to multiply x+1 by 5.
3x+9-5x=5
Subtract 5x from both sides.
-2x+9=5
Combine 3x and -5x to get -2x.
-2x=5-9
Subtract 9 from both sides.
-2x=-4
Subtract 9 from 5 to get -4.
x=\frac{-4}{-2}
Divide both sides by -2.
x=2
Divide -4 by -2 to get 2.
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