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

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


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

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

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

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

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

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

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

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

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

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

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

Solving
x = 2 + -1tu + 12u

Solving for variable 'x'.

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

Simplifying
x = 2 + -1tu + 12u

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