3t-(t+5)=6+(t+1)

Solution for 3t-(t+5)=6+(t+1) equation:

Simplifying
3t + -1(t + 5) = 6 + (t + 1)

Reorder the terms:
3t + -1(5 + t) = 6 + (t + 1)
3t + (5 * -1 + t * -1) = 6 + (t + 1)
3t + (-5 + -1t) = 6 + (t + 1)

Reorder the terms:
-5 + 3t + -1t = 6 + (t + 1)

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

Reorder the terms:
-5 + 2t = 6 + (1 + t)

Remove parenthesis around (1 + t)
-5 + 2t = 6 + 1 + t

Combine like terms: 6 + 1 = 7
-5 + 2t = 7 + t

Solving
-5 + 2t = 7 + 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.
-5 + 2t + -1t = 7 + t + -1t

Combine like terms: 2t + -1t = 1t
-5 + 1t = 7 + t + -1t

Combine like terms: t + -1t = 0
-5 + 1t = 7 + 0
-5 + 1t = 7

Add '5' to each side of the equation.
-5 + 5 + 1t = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 1t = 7 + 5
1t = 7 + 5

Combine like terms: 7 + 5 = 12
1t = 12

Divide each side by '1'.
t = 12

Simplifying
t = 12