x(t)=2-u(t-3)+u(t+1)-u(t-8)

Solution for x(t)=2-u(t-3)+u(t+1)-u(t-8) equation:

Simplifying
x(t) = 2 + -1u(t + -3) + u(t + 1) + -1u(t + -8)

Multiply x * t
tx = 2 + -1u(t + -3) + u(t + 1) + -1u(t + -8)

Reorder the terms:
tx = 2 + -1u(-3 + t) + u(t + 1) + -1u(t + -8)
tx = 2 + (-3 * -1u + t * -1u) + u(t + 1) + -1u(t + -8)

Reorder the terms:
tx = 2 + (-1tu + 3u) + u(t + 1) + -1u(t + -8)
tx = 2 + (-1tu + 3u) + u(t + 1) + -1u(t + -8)

Reorder the terms:
tx = 2 + -1tu + 3u + u(1 + t) + -1u(t + -8)
tx = 2 + -1tu + 3u + (1 * u + t * u) + -1u(t + -8)

Reorder the terms:
tx = 2 + -1tu + 3u + (tu + 1u) + -1u(t + -8)
tx = 2 + -1tu + 3u + (tu + 1u) + -1u(t + -8)

Reorder the terms:
tx = 2 + -1tu + 3u + tu + 1u + -1u(-8 + t)
tx = 2 + -1tu + 3u + tu + 1u + (-8 * -1u + t * -1u)

Reorder the terms:
tx = 2 + -1tu + 3u + tu + 1u + (-1tu + 8u)
tx = 2 + -1tu + 3u + tu + 1u + (-1tu + 8u)

Reorder the terms:
tx = 2 + -1tu + tu + -1tu + 3u + 1u + 8u

Combine like terms: -1tu + tu = 0
tx = 2 + 0 + -1tu + 3u + 1u + 8u
tx = 2 + -1tu + 3u + 1u + 8u

Combine like terms: 3u + 1u = 4u
tx = 2 + -1tu + 4u + 8u

Combine like terms: 4u + 8u = 12u
tx = 2 + -1tu + 12u

Solving
tx = 2 + -1tu + 12u

Solving for variable 't'.

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

Add 'tu' to each side of the equation.
tu + tx = 2 + -1tu + tu + 12u

Combine like terms: -1tu + tu = 0
tu + tx = 2 + 0 + 12u
tu + tx = 2 + 12u

Reorder the terms:
-2 + tu + tx + -12u = 2 + 12u + -2 + -12u

Reorder the terms:
-2 + tu + tx + -12u = 2 + -2 + 12u + -12u

Combine like terms: 2 + -2 = 0
-2 + tu + tx + -12u = 0 + 12u + -12u
-2 + tu + tx + -12u = 12u + -12u

Combine like terms: 12u + -12u = 0
-2 + tu + tx + -12u = 0

The solution to this equation could not be determined.