5t-2(t-3)=-33

Solution for 5t-2(t-3)=-33 equation:

Simplifying
5t + -2(t + -3) = -33

Reorder the terms:
5t + -2(-3 + t) = -33
5t + (-3 * -2 + t * -2) = -33
5t + (6 + -2t) = -33

Reorder the terms:
6 + 5t + -2t = -33

Combine like terms: 5t + -2t = 3t
6 + 3t = -33

Solving
6 + 3t = -33

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + 3t = -33 + -6

Combine like terms: 6 + -6 = 0
0 + 3t = -33 + -6
3t = -33 + -6

Combine like terms: -33 + -6 = -39
3t = -39

Divide each side by '3'.
t = -13

Simplifying
t = -13