Solve for n
n=7
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3\times 4n=2\left(5n+7\right)
Variable n cannot be equal to -\frac{7}{5} since division by zero is not defined. Multiply both sides of the equation by 3\left(5n+7\right), the least common multiple of 5n+7,3.
12n=2\left(5n+7\right)
Multiply 3 and 4 to get 12.
12n=10n+14
Use the distributive property to multiply 2 by 5n+7.
12n-10n=14
Subtract 10n from both sides.
2n=14
Combine 12n and -10n to get 2n.
n=\frac{14}{2}
Divide both sides by 2.
n=7
Divide 14 by 2 to get 7.
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