2(t+4)=3-(3t+1)

Solution for 2(t+4)=3-(3t+1) equation:

Simplifying
2(t + 4) = 3 + -1(3t + 1)

Reorder the terms:
2(4 + t) = 3 + -1(3t + 1)
(4 * 2 + t * 2) = 3 + -1(3t + 1)
(8 + 2t) = 3 + -1(3t + 1)

Reorder the terms:
8 + 2t = 3 + -1(1 + 3t)
8 + 2t = 3 + (1 * -1 + 3t * -1)
8 + 2t = 3 + (-1 + -3t)

Combine like terms: 3 + -1 = 2
8 + 2t = 2 + -3t

Solving
8 + 2t = 2 + -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.
8 + 2t + 3t = 2 + -3t + 3t

Combine like terms: 2t + 3t = 5t
8 + 5t = 2 + -3t + 3t

Combine like terms: -3t + 3t = 0
8 + 5t = 2 + 0
8 + 5t = 2

Add '-8' to each side of the equation.
8 + -8 + 5t = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 5t = 2 + -8
5t = 2 + -8

Combine like terms: 2 + -8 = -6
5t = -6

Divide each side by '5'.
t = -1.2

Simplifying
t = -1.2