3(t-1)=3(2t-3)

Solution for 3(t-1)=3(2t-3) equation:

Simplifying
3(t + -1) = 3(2t + -3)

Reorder the terms:
3(-1 + t) = 3(2t + -3)
(-1 * 3 + t * 3) = 3(2t + -3)
(-3 + 3t) = 3(2t + -3)

Reorder the terms:
-3 + 3t = 3(-3 + 2t)
-3 + 3t = (-3 * 3 + 2t * 3)
-3 + 3t = (-9 + 6t)

Solving
-3 + 3t = -9 + 6t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-6t' to each side of the equation.
-3 + 3t + -6t = -9 + 6t + -6t

Combine like terms: 3t + -6t = -3t
-3 + -3t = -9 + 6t + -6t

Combine like terms: 6t + -6t = 0
-3 + -3t = -9 + 0
-3 + -3t = -9

Add '3' to each side of the equation.
-3 + 3 + -3t = -9 + 3

Combine like terms: -3 + 3 = 0
0 + -3t = -9 + 3
-3t = -9 + 3

Combine like terms: -9 + 3 = -6
-3t = -6

Divide each side by '-3'.
t = 2

Simplifying
t = 2