(3t+1)-5=t-(t+2)

Solution for (3t+1)-5=t-(t+2) equation:

Simplifying
(3t + 1) + -5 = t + -1(t + 2)

Reorder the terms:
(1 + 3t) + -5 = t + -1(t + 2)

Remove parenthesis around (1 + 3t)
1 + 3t + -5 = t + -1(t + 2)

Reorder the terms:
1 + -5 + 3t = t + -1(t + 2)

Combine like terms: 1 + -5 = -4
-4 + 3t = t + -1(t + 2)

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

Reorder the terms:
-4 + 3t = -2 + t + -1t

Combine like terms: t + -1t = 0
-4 + 3t = -2 + 0
-4 + 3t = -2

Solving
-4 + 3t = -2

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + 3t = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 3t = -2 + 4
3t = -2 + 4

Combine like terms: -2 + 4 = 2
3t = 2

Divide each side by '3'.
t = 0.6666666667

Simplifying
t = 0.6666666667