-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 = -3
-5t = -3

Divide each side by '-5'.
t = 0.6

Simplifying
t = 0.6