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 = 27
3t = 27

Divide each side by '3'.
t = 9

Simplifying
t = 9