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

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

Simplifying
3(1 + t) = 2[3(t + 2) + -1(t + 1)]
(1 * 3 + t * 3) = 2[3(t + 2) + -1(t + 1)]
(3 + 3t) = 2[3(t + 2) + -1(t + 1)]

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

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

Reorder the terms:
3 + 3t = 2[6 + -1 + 3t + -1t]

Combine like terms: 6 + -1 = 5
3 + 3t = 2[5 + 3t + -1t]

Combine like terms: 3t + -1t = 2t
3 + 3t = 2[5 + 2t]
3 + 3t = [5 * 2 + 2t * 2]
3 + 3t = [10 + 4t]

Solving
3 + 3t = 10 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
3 + 3t + -4t = 10 + 4t + -4t

Combine like terms: 3t + -4t = -1t
3 + -1t = 10 + 4t + -4t

Combine like terms: 4t + -4t = 0
3 + -1t = 10 + 0
3 + -1t = 10

Add '-3' to each side of the equation.
3 + -3 + -1t = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 10 + -3
-1t = 10 + -3

Combine like terms: 10 + -3 = 7
-1t = 7

Divide each side by '-1'.
t = -7

Simplifying
t = -7