Solve 3t-2/4-2t-3/3=2/3-t

$$\frac { 3 t - 2 } { 4 } - \frac { 2 t - 3 } { 3 } = \frac { 2 } { 3 } - t$$

Solve for t

$$t=\frac{2}{13}\approx 0.153846154$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(3t-2\right)-4\left(2t-3\right)=8-12t$$

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

$$9t-6-4\left(2t-3\right)=8-12t$$

Use the distributive property to multiply -4 by 2t-3.

$$9t-6-8t+12=8-12t$$

Combine 9t and -8t to get t.

$$t-6+12=8-12t$$

Add -6 and 12 to get 6.

$$t+6=8-12t$$

Add 12t to both sides.

$$t+6+12t=8$$

Combine t and 12t to get 13t.

$$13t+6=8$$

Subtract 6 from both sides.

$$13t=8-6$$

Subtract 6 from 8 to get 2.

$$13t=2$$

Divide both sides by 13.

$$t=\frac{2}{13}$$