3(t-1)-(t+2)=7

Solution for 3(t-1)-(t+2)=7 equation:

Simplifying
3(t + -1) + -1(t + 2) = 7

Reorder the terms:
3(-1 + t) + -1(t + 2) = 7
(-1 * 3 + t * 3) + -1(t + 2) = 7
(-3 + 3t) + -1(t + 2) = 7

Reorder the terms:
-3 + 3t + -1(2 + t) = 7
-3 + 3t + (2 * -1 + t * -1) = 7
-3 + 3t + (-2 + -1t) = 7

Reorder the terms:
-3 + -2 + 3t + -1t = 7

Combine like terms: -3 + -2 = -5
-5 + 3t + -1t = 7

Combine like terms: 3t + -1t = 2t
-5 + 2t = 7

Solving
-5 + 2t = 7

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + 5 + 2t = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 2t = 7 + 5
2t = 7 + 5

Combine like terms: 7 + 5 = 12
2t = 12

Divide each side by '2'.
t = 6

Simplifying
t = 6