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

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

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

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

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

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

Solving for variable 't'.

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

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

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

Combine like terms: 2t + -2t = 0
-6 + -5t = -2 + 0
-6 + -5t = -2

Add '6' to each side of the equation.
-6 + 6 + -5t = -2 + 6

Combine like terms: -6 + 6 = 0
0 + -5t = -2 + 6
-5t = -2 + 6

Combine like terms: -2 + 6 = 4
-5t = 4

Divide each side by '-5'.
t = -0.8

Simplifying
t = -0.8