3t-1+t-5t=1

Solution for 3t-1+t-5t=1 equation:

Simplifying
3t + -1 + t + -5t = 1

Reorder the terms:
-1 + 3t + t + -5t = 1

Combine like terms: 3t + t = 4t
-1 + 4t + -5t = 1

Combine like terms: 4t + -5t = -1t
-1 + -1t = 1

Solving
-1 + -1t = 1

Solving for variable 't'.

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

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

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

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

Divide each side by '-1'.
t = -2

Simplifying
t = -2