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

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

Solve for n

$$n = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$6n-3\left(n-1\right)=6-2\left(n-2\right)$$

Use the distributive property to multiply -3 by n-1.

$$6n-3n+3=6-2\left(n-2\right)$$

Combine 6n and -3n to get 3n.

$$3n+3=6-2\left(n-2\right)$$

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

$$3n+3=6-2n+4$$

Add 6 and 4 to get 10.

$$3n+3=10-2n$$

Add 2n to both sides.

$$3n+3+2n=10$$

Combine 3n and 2n to get 5n.

$$5n+3=10$$

Subtract 3 from both sides.

$$5n=10-3$$

Subtract 3 from 10 to get 7.

$$5n=7$$

Divide both sides by 5.

$$n=\frac{7}{5}$$