Solve u-u-1/3=u-1-u/2

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

Solve for u

$$u=1$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply -2 by u-1.

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

Combine 6u and -2u to get 4u.

$$4u+2=6u-3\left(1-u\right)$$

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

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

Combine 6u and 3u to get 9u.

$$4u+2=9u-3$$

Subtract 9u from both sides.

$$4u+2-9u=-3$$

Combine 4u and -9u to get -5u.

$$-5u+2=-3$$

Subtract 2 from both sides.

$$-5u=-3-2$$

Subtract 2 from -3 to get -5.

$$-5u=-5$$

Divide both sides by -5.

$$u=\frac{-5}{-5}$$

Divide -5 by -5 to get 1.

$$u=1$$