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

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

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

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

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

Remove parenthesis around (4 + -1t)
4 + -3t = 2t + 4 + -1t

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

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

Add '-4' to each side of the equation.
4 + -4 + -3t = 4 + -4 + 1t

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

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

Solving
-3t = 1t

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.
-3t + -1t = 1t + -1t

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

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

Divide each side by '-4'.
t = 0

Simplifying
t = 0