Solve 2/3t-1/6t=t-3/2

$$\frac { 2 } { 3 } t - \frac { 1 } { 6 } t = t - \frac { 3 } { 2 }$$

Solve for t

$$t=3$$

Steps for Solving Linear Equation

Combine \frac{2}{3}t and -\frac{1}{6}t to get \frac{1}{2}t.

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

Subtract t from both sides.

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

Combine \frac{1}{2}t and -t to get -\frac{1}{2}t.

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

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$t=-\frac{3}{2}\left(-2\right)$$

Express -\frac{3}{2}\left(-2\right) as a single fraction.

$$t=\frac{-3\left(-2\right)}{2}$$

Multiply -3 and -2 to get 6.

$$t=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$t=3$$