-2(t-3)-8=-4(t+1)

Solution for -2(t-3)-8=-4(t+1) equation:

Simplifying
-2(t + -3) + -8 = -4(t + 1)

Reorder the terms:
-2(-3 + t) + -8 = -4(t + 1)
(-3 * -2 + t * -2) + -8 = -4(t + 1)
(6 + -2t) + -8 = -4(t + 1)

Reorder the terms:
6 + -8 + -2t = -4(t + 1)

Combine like terms: 6 + -8 = -2
-2 + -2t = -4(t + 1)

Reorder the terms:
-2 + -2t = -4(1 + t)
-2 + -2t = (1 * -4 + t * -4)
-2 + -2t = (-4 + -4t)

Solving
-2 + -2t = -4 + -4t

Solving for variable 't'.

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

Add '4t' to each side of the equation.
-2 + -2t + 4t = -4 + -4t + 4t

Combine like terms: -2t + 4t = 2t
-2 + 2t = -4 + -4t + 4t

Combine like terms: -4t + 4t = 0
-2 + 2t = -4 + 0
-2 + 2t = -4

Add '2' to each side of the equation.
-2 + 2 + 2t = -4 + 2

Combine like terms: -2 + 2 = 0
0 + 2t = -4 + 2
2t = -4 + 2

Combine like terms: -4 + 2 = -2
2t = -2

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

Simplifying
t = -1