5(3-t)-(3-3t)=5

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

Simplifying
5(3 + -1t) + -1(3 + -3t) = 5
(3 * 5 + -1t * 5) + -1(3 + -3t) = 5
(15 + -5t) + -1(3 + -3t) = 5
15 + -5t + (3 * -1 + -3t * -1) = 5
15 + -5t + (-3 + 3t) = 5

Reorder the terms:
15 + -3 + -5t + 3t = 5

Combine like terms: 15 + -3 = 12
12 + -5t + 3t = 5

Combine like terms: -5t + 3t = -2t
12 + -2t = 5

Solving
12 + -2t = 5

Solving for variable 't'.

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

Add '-12' to each side of the equation.
12 + -12 + -2t = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -2t = 5 + -12
-2t = 5 + -12

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

Divide each side by '-2'.
t = 3.5

Simplifying
t = 3.5