Solve 1/2n-3=2/3n-1

$$\frac { 1 } { 2 n - 3 } = \frac { 2 } { 3 n - 1 }$$

Solve for n

$$n=5$$

Steps for Solving Linear Equation

Variable n cannot be equal to any of the values \frac{1}{3},\frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by \left(2n-3\right)\left(3n-1\right), the least common multiple of 2n-3,3n-1.

$$3n-1=\left(2n-3\right)\times 2$$

Use the distributive property to multiply 2n-3 by 2.

$$3n-1=4n-6$$

Subtract 4n from both sides.

$$3n-1-4n=-6$$

Combine 3n and -4n to get -n.

$$-n-1=-6$$

Add 1 to both sides.

$$-n=-6+1$$

Add -6 and 1 to get -5.

$$-n=-5$$

Multiply both sides by -1.

$$n=5$$