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

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

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

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

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

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

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

Solving
-1 + 3t = 1 + t

Solving for variable 't'.

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

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

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

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

Add '1' to each side of the equation.
-1 + 1 + 2t = 1 + 1

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

Combine like terms: 1 + 1 = 2
2t = 2

Divide each side by '2'.
t = 1

Simplifying
t = 1