Solve 3(7n+13)/12n+15=2

$$\frac { 3 ( 7 n + 13 ) } { 12 n + 15 } = 2$$

Solve for n

$$n=3$$

Steps for Solving Linear Equation

Variable n cannot be equal to -\frac{5}{4} since division by zero is not defined. Multiply both sides of the equation by 3\left(4n+5\right).

$$3\left(7n+13\right)=6\left(4n+5\right)$$

Use the distributive property to multiply 3 by 7n+13.

$$21n+39=6\left(4n+5\right)$$

Use the distributive property to multiply 6 by 4n+5.

$$21n+39=24n+30$$

Subtract 24n from both sides.

$$21n+39-24n=30$$

Combine 21n and -24n to get -3n.

$$-3n+39=30$$

Subtract 39 from both sides.

$$-3n=30-39$$

Subtract 39 from 30 to get -9.

$$-3n=-9$$

Divide both sides by -3.

$$n=\frac{-9}{-3}$$

Divide -9 by -3 to get 3.

$$n=3$$