2(3t-1)+1=6-t

Solution for 2(3t-1)+1=6-t equation:

Simplifying
2(3t + -1) + 1 = 6 + -1t

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

Reorder the terms:
-2 + 1 + 6t = 6 + -1t

Combine like terms: -2 + 1 = -1
-1 + 6t = 6 + -1t

Solving
-1 + 6t = 6 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-1 + 6t + t = 6 + -1t + t

Combine like terms: 6t + t = 7t
-1 + 7t = 6 + -1t + t

Combine like terms: -1t + t = 0
-1 + 7t = 6 + 0
-1 + 7t = 6

Add '1' to each side of the equation.
-1 + 1 + 7t = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 7t = 6 + 1
7t = 6 + 1

Combine like terms: 6 + 1 = 7
7t = 7

Divide each side by '7'.
t = 1

Simplifying
t = 1