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

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

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

Reorder the terms:
2(-3 + t) = -3(t + -1)
(-3 * 2 + t * 2) = -3(t + -1)
(-6 + 2t) = -3(t + -1)

Reorder the terms:
-6 + 2t = -3(-1 + t)
-6 + 2t = (-1 * -3 + t * -3)
-6 + 2t = (3 + -3t)

Solving
-6 + 2t = 3 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
-6 + 2t + 3t = 3 + -3t + 3t

Combine like terms: 2t + 3t = 5t
-6 + 5t = 3 + -3t + 3t

Combine like terms: -3t + 3t = 0
-6 + 5t = 3 + 0
-6 + 5t = 3

Add '6' to each side of the equation.
-6 + 6 + 5t = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 5t = 3 + 6
5t = 3 + 6

Combine like terms: 3 + 6 = 9
5t = 9

Divide each side by '5'.
t = 1.8

Simplifying
t = 1.8