Solve for n
n=4
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\left(n+2\right)\times 6=\left(n+5\right)\times 4
Variable n cannot be equal to any of the values -5,-2 since division by zero is not defined. Multiply both sides of the equation by \left(n+2\right)\left(n+5\right), the least common multiple of n+5,n+2.
6n+12=\left(n+5\right)\times 4
Use the distributive property to multiply n+2 by 6.
6n+12=4n+20
Use the distributive property to multiply n+5 by 4.
6n+12-4n=20
Subtract 4n from both sides.
2n+12=20
Combine 6n and -4n to get 2n.
2n=20-12
Subtract 12 from both sides.
2n=8
Subtract 12 from 20 to get 8.
n=\frac{8}{2}
Divide both sides by 2.
n=4
Divide 8 by 2 to get 4.
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