3(t-1)=7+t

Solution for 3(t-1)=7+t equation:

Simplifying
3(t + -1) = 7 + t

Reorder the terms:
3(-1 + t) = 7 + t
(-1 * 3 + t * 3) = 7 + t
(-3 + 3t) = 7 + t

Solving
-3 + 3t = 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.
-3 + 3t + -1t = 7 + t + -1t

Combine like terms: 3t + -1t = 2t
-3 + 2t = 7 + t + -1t

Combine like terms: t + -1t = 0
-3 + 2t = 7 + 0
-3 + 2t = 7

Add '3' to each side of the equation.
-3 + 3 + 2t = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 2t = 7 + 3
2t = 7 + 3

Combine like terms: 7 + 3 = 10
2t = 10

Divide each side by '2'.
t = 5

Simplifying
t = 5