Solve 3(t-2)+3=3(2t-3)

$$3 ( t - 2 ) + 3 = 3 ( 2 t - 3 )$$

Solve for t

$$t=2$$

Steps for Solving Linear Equation

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

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

Add -6 and 3 to get -3.

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

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

$$3t-3=6t-9$$

Subtract 6t from both sides.

$$3t-3-6t=-9$$

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

$$-3t-3=-9$$

Add 3 to both sides.

$$-3t=-9+3$$

Add -9 and 3 to get -6.

$$-3t=-6$$

Divide both sides by -3.

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

Divide -6 by -3 to get 2.

$$t=2$$