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

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

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

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

Combine like terms: 6t + -1t = 5t
3 + 5t = 2t + (3 + -1t)

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

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

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

Add '-3' to each side of the equation.
3 + -3 + 5t = 3 + -3 + 1t

Combine like terms: 3 + -3 = 0
0 + 5t = 3 + -3 + 1t
5t = 3 + -3 + 1t

Combine like terms: 3 + -3 = 0
5t = 0 + 1t
5t = 1t

Solving
5t = 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.
5t + -1t = 1t + -1t

Combine like terms: 5t + -1t = 4t
4t = 1t + -1t

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

Divide each side by '4'.
t = 0

Simplifying
t = 0