2u(t-1)-5u(t-3)+(t-5)=

Solution for 2u(t-1)-5u(t-3)+(t-5)= equation:

Simplifying
2u(t + -1) + -5u(t + -3) + (t + -5) = 0

Reorder the terms:
2u(-1 + t) + -5u(t + -3) + (t + -5) = 0
(-1 * 2u + t * 2u) + -5u(t + -3) + (t + -5) = 0

Reorder the terms:
(2tu + -2u) + -5u(t + -3) + (t + -5) = 0
(2tu + -2u) + -5u(t + -3) + (t + -5) = 0

Reorder the terms:
2tu + -2u + -5u(-3 + t) + (t + -5) = 0
2tu + -2u + (-3 * -5u + t * -5u) + (t + -5) = 0

Reorder the terms:
2tu + -2u + (-5tu + 15u) + (t + -5) = 0
2tu + -2u + (-5tu + 15u) + (t + -5) = 0

Reorder the terms:
2tu + -2u + -5tu + 15u + (-5 + t) = 0

Remove parenthesis around (-5 + t)
2tu + -2u + -5tu + 15u + -5 + t = 0

Reorder the terms:
-5 + t + 2tu + -5tu + -2u + 15u = 0

Combine like terms: 2tu + -5tu = -3tu
-5 + t + -3tu + -2u + 15u = 0

Combine like terms: -2u + 15u = 13u
-5 + t + -3tu + 13u = 0

Solving
-5 + t + -3tu + 13u = 0

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + t + -3tu + 5 + 13u = 0 + 5

Reorder the terms:
-5 + 5 + t + -3tu + 13u = 0 + 5

Combine like terms: -5 + 5 = 0
0 + t + -3tu + 13u = 0 + 5
t + -3tu + 13u = 0 + 5

Combine like terms: 0 + 5 = 5
t + -3tu + 13u = 5

Add '-13u' to each side of the equation.
t + -3tu + 13u + -13u = 5 + -13u

Combine like terms: 13u + -13u = 0
t + -3tu + 0 = 5 + -13u
t + -3tu = 5 + -13u

Reorder the terms:
-5 + t + -3tu + 13u = 5 + -13u + -5 + 13u

Reorder the terms:
-5 + t + -3tu + 13u = 5 + -5 + -13u + 13u

Combine like terms: 5 + -5 = 0
-5 + t + -3tu + 13u = 0 + -13u + 13u
-5 + t + -3tu + 13u = -13u + 13u

Combine like terms: -13u + 13u = 0
-5 + t + -3tu + 13u = 0

The solution to this equation could not be determined.