5t-1=(t-17)*3

Solution for 5t-1=(t-17)*3 equation:

Simplifying
5t + -1 = (t + -17) * 3

Reorder the terms:
-1 + 5t = (t + -17) * 3

Reorder the terms:
-1 + 5t = (-17 + t) * 3

Reorder the terms for easier multiplication:
-1 + 5t = 3(-17 + t)
-1 + 5t = (-17 * 3 + t * 3)
-1 + 5t = (-51 + 3t)

Solving
-1 + 5t = -51 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-1 + 5t + -3t = -51 + 3t + -3t

Combine like terms: 5t + -3t = 2t
-1 + 2t = -51 + 3t + -3t

Combine like terms: 3t + -3t = 0
-1 + 2t = -51 + 0
-1 + 2t = -51

Add '1' to each side of the equation.
-1 + 1 + 2t = -51 + 1

Combine like terms: -1 + 1 = 0
0 + 2t = -51 + 1
2t = -51 + 1

Combine like terms: -51 + 1 = -50
2t = -50

Divide each side by '2'.
t = -25

Simplifying
t = -25