Solve -t-1/3=1/2*(t-1)

$$- \frac { t - 1 } { 3 } = \frac { 1 } { 2 } \cdot ( t - 1 )$$

Solve for t

$$t=1$$

Steps for Solving Linear Equation

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

$$-2\left(t-1\right)=3\left(t-1\right)$$

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

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

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

$$-2t+2=3t-3$$

Subtract 3t from both sides.

$$-2t+2-3t=-3$$

Combine -2t and -3t to get -5t.

$$-5t+2=-3$$

Subtract 2 from both sides.

$$-5t=-3-2$$

Subtract 2 from -3 to get -5.

$$-5t=-5$$

Divide both sides by -5.

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

Divide -5 by -5 to get 1.

$$t=1$$