3(2t-1)-(t-3)=-15

Solution for 3(2t-1)-(t-3)=-15 equation:

Simplifying
3(2t + -1) + -1(t + -3) = -15

Reorder the terms:
3(-1 + 2t) + -1(t + -3) = -15
(-1 * 3 + 2t * 3) + -1(t + -3) = -15
(-3 + 6t) + -1(t + -3) = -15

Reorder the terms:
-3 + 6t + -1(-3 + t) = -15
-3 + 6t + (-3 * -1 + t * -1) = -15
-3 + 6t + (3 + -1t) = -15

Reorder the terms:
-3 + 3 + 6t + -1t = -15

Combine like terms: -3 + 3 = 0
0 + 6t + -1t = -15
6t + -1t = -15

Combine like terms: 6t + -1t = 5t
5t = -15

Solving
5t = -15

Solving for variable 't'.

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

Divide each side by '5'.
t = -3

Simplifying
t = -3