Solve n-12/6=9n/5-14/15

$$\frac { n - 12 } { 6 } = \frac { 9 n } { 5 } - \frac { 14 } { 15 }$$

Solve for n

$$n=-\frac{32}{49}\approx -0.653061224$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 6,5,15.

$$5\left(n-12\right)=6\times 9n-28$$

Use the distributive property to multiply 5 by n-12.

$$5n-60=6\times 9n-28$$

Multiply 6 and 9 to get 54.

$$5n-60=54n-28$$

Subtract 54n from both sides.

$$5n-60-54n=-28$$

Combine 5n and -54n to get -49n.

$$-49n-60=-28$$

Add 60 to both sides.

$$-49n=-28+60$$

Add -28 and 60 to get 32.

$$-49n=32$$

Divide both sides by -49.

$$n=\frac{32}{-49}$$

Fraction \frac{32}{-49} can be rewritten as -\frac{32}{49} by extracting the negative sign.

$$n=-\frac{32}{49}$$